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Mathematics Curriculum Guide
Grade 6 |
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Objectives |
Core Curr.
Content
Standards
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Instructional
Activities
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Assessment
(Cross-curricular)
(Multi-cultural)
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Resources |
GEPA
HSPA
Terra Nova |
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UNIT 1
The student will be able to:
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Understanding Numbers: Whole Numbers, Decimals
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Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
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· Read, make & interpret frequency tables
from given & collected data.
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4.1 - 4.4 |
Chapter 1.1 - Frequency Tables &
Diagrams, pp. 12-13 |
Teacher Observation |
Practice 1; Reteaching 1;
Enrichment 1;
Mac Act. 1/2 |
S-9 |
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· Read & write whole numbers using place
value.
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4.1 - 4.4 |
Chapter 1.2 – Whole Numbers,
pp. 14-15 |
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Practice 2; Reteaching 2; Enrichment 2; Mac Act. 3/4; |
S-9
M. I |
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· Read & write decimals using place value
chart.
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4.1 – 4.4 |
Chapter 1.3 – Decimals, pp. 16-17 |
Teacher Observation |
Practice 3; Reteaching 3; Enrichment 3;
Mac Act. 5/6 |
S-9
M. I |
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· Compare & order whole numbers &
decimals.
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4.1 - 4.4 |
Chapter 1.4 – Comparing & Ordering,
18-19 |
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Practice 4; Reteaching 4; Enrichment 4;
Mac Act. 7/8 |
S-9
M. I |
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· Solve problems using the five-step process.
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4.1 – 4.4 |
Chapter 1.5 – Problem Solving Using the
Five Step Process, pp. 20-21 |
Mid-chapter Quiz |
Practice 5; Reteaching 5; Enrichment 5;
Mac Act. 9/10 |
S-9
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· Think mathematically.
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4.1 – 4.4 |
Chapter 1.6 – Thinking Mathematically, pp. 22-23 |
Teacher Observation |
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· Round whole numbers & decimals.
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4.1 – 4.4 |
Chapter 1.7 – Rounding Whole &
Decimal Numbers, pp. 24-25 |
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Practice 6; Reteaching 6; Enrichment 6;
Mac Act. 11/12
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S-9 |
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· Read & interpret bar graphs.
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4.1 – 4.4 |
Chapter 1.8 – Reading & Interpreting
Bar Graphs, pp. 26-27 |
Teacher Observation |
Practice 7; Reteaching 7; Enrichment 7;
Mac Act. 13/14
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S-9 |
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· Make bar graphs from collected data.
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4.1 – 4.4 |
Chapter 1.9 – Making Bar Graphs,
pp. 28-29 |
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Practice 8; Reteaching 8; Enrichment 8;
Mac Act. 15/16
Graph Paper
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· Problem solve - conduct an experiment.
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4.1 – 4.4 |
Chapter 1.10 – Problem Solving:
Conducting an Experiment, pp. 30-31 |
Teacher Observation |
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S-9 |
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· Make a decision - planning a class trip.
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4.1 – 4.4 |
Chapter 1.11 – Decision Making,
pp. 32-33 |
Teacher Observation |
Calculators
Cooperative Learning
Teams
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· Understand the Babylonian number system.
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4.1 – 4.4
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Chapter 1 – Curriculum Connection,
p. 34
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Social Studies
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· Use technology - computer.
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4.1
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Chapter 1 – Technology, p. 35
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Computers |
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· Review the skills & concepts presented in
the chapter.
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4.1 – 4.16 |
Chapter 1 – Chapter Review, pp. 42-43
Chapter 1 – Chapter Test, p. 44
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Assess students understanding of concepts & skills presented in
chapter 1.
Test Forms A/B – Multiple Choice
Test Form C – Free Response
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Home involvement |
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· Understand binary numbers.
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4.1 – 4.5 |
Chapter 1 Enrichment for All, p. 45
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· Review & maintain previously learned
skills & concepts.
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4.1 – 4.16 |
Chapter 1 Cumulative Review, p. 46
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Answer Grid
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UNIT 2
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Using Addition & Subtraction: Whole Numbers, Decimals
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Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992
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· Use mental math – adding & subtracting.
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4.1 – 4.4 |
Chapter 2.1 – Mental Math: Adding &
Subtracting, pp. 48-49 |
Teacher Observation
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Practice 10; Reteaching 10; Enrichment 10;
Mac Act. 19/20 |
S-9 |
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· Estimate sums & differences – rounding.
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4.1
4.10
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Chapter 2.2 – Estimating Sums &
Differences: Rounding, pp. 50-51
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Practice 11; Reteaching 11; Enrichment 11;
Mac Act. 21/22 |
S-9
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· Use front-end estimation – sums &
differences.
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4.1 – 4.4
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Chapter 2.3 – Front-end Estimation –
Sums & Differences, pp. 52-53
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Teacher Observation
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Practice 12; Reteaching 12; Enrichment 12;
Mac Act. 23/24 |
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· Add & subtract whole numbers.
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4.1 – 4.4
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Chapter 2.4 – Adding & Subtracting
Whole Numbers, pp. 54-55
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Practice 13; Reteaching 13; Enrichment 13;
Mac Act. 25/26 |
S-9
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· Use algebra – equations.
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4.1 – 4.4
4.13
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Chapter 2.5 – Algebra: Equations,
pp. 56-57
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Teacher Observation
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S-9
M. V
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· Use algebra to solve equations.
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4.1 – 4.4 |
Chapter 2. 6 – Algebra: Solving
Equations, pp. 58-59
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Mid-chapter Quiz |
Practice 14; Reteaching 14; Enrichment 14;
Mac Act. 27/28
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M. V
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· Problem solve using estimation.
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4.1 – 4.4 |
Chapter 2. 7 – Problem Solving: Using
Estimation, pp. 60-61
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Practice 15; Reteaching 15; Enrichment 15;
Mac Act. 29/30
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S-9
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· Think mathematically.
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4.1 – 4.4 |
Chapter 2.8 – Thinking Mathematically,
pp. 62-63 |
Teacher Observation |
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· Estimate decimal sums & differences.
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4.1 – 4.4
4.10 |
Chapter 2.9 – Estimating Decimal Sums
& Differences, pp. 64-65
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Practice 16; Reteaching 16; Enrichment 16;
Mac Act. 31/32
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S-9 |
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· Add & subtract decimals.
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4.1 – 4.4 |
Chapter 2.10 – Adding & Subtracting
Decimals, pp. 66-67 |
Teacher Observation |
Practice 17; Reteaching 17; Enrichment 17;
Mac Act. 33/34
Graph Paper
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S-9 |
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· Use metric units of length – perimeter.
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4.1 – 4.4 |
Chapter 2.11 – Metric Units of Length:
Perimeter, pp. 68-69 |
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Practice 18; Reteaching 18; Enrichment 18;
Mac Act. 35/36
Graph Paper
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S-9
M. II |
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· Problem solve – draw a diagram.
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4.1 – 4.4 |
Chapter 2.12 – Problem Solving:
Drawing a Diagram, pp. 70-71 |
Teacher Observation |
Practice 19; Reteaching 19; Enrichment 19;
Mac Act. 37/38
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· Read & interpret line graphs.
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4.1 – 4.4 |
Chapter 2.13 – Reading & Interpreting
Line Graphs, pp. 72-73 |
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Practice 20; Reteaching 20; Enrichment 20;
Mac Act. 39/40
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S-9 |
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· Make line graphs.
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4.1 – 4.4 |
Chapter 2.14 – Making Line Graphs,
pp. 74-75 |
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Practice 21; Reteaching 21; Enrichment 21;
Mac Act. 41/42 |
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· Use decision making skills.
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4.1 – 4.4 |
Chapter 2.15 – Decision Making,
pp. 76-77 |
Teacher Observation |
Calculators
Cooperative Learning
Teams |
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· Understand & use building plans.
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4.1 – 4.5 |
Chapter 2 – Curriculum Connection,
p. 78 |
Art |
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· Use calculators to build numbers.
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4.6 |
Chapter 2 – Technology, p. 79 |
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Calculator |
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· Review the skills & concepts presented in
chapter.
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4.1 – 4.16 |
Chapter 2 - Chapter Review, pp. 86-87
Chapter 2 – Chapter Test, p. 88 |
Assess students understanding of concepts & skills presented in
chapter 2.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
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· Use Venn diagrams to solve problems.
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Chapter 2 Enrichment, p. 89 |
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· Review previously learned skills &
concepts.
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4.1 – 4.16 |
Chapter 2 Cumulative Review, p. 90 |
Answer Grid |
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UNIT 3
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Using Multiplication: Whole Numbers, Decimals
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Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
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· Use mental math – multiply.
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4.1 |
Chapter 3.1 – Mental Math: Multiplying,
pp. 92-93
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Teacher Observation |
Practice 22; Reteaching 22; Enrichment 22;
Mac Act. 43/44 |
S-9 |
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· Estimate products.
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4.1
4.10 |
Chapter 3.2 – Estimating Products,
pp. 94-95
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Practice 23; Reteaching 23; Enrichment 23;
Mac Act. 45/46 |
S-9 |
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· Multiply.
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4.1 – 4.4 |
Chapter 3.3 – Multiplying, pp. 96-97
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Teacher Observation |
Practice 24; Reteaching 24; Enrichment 24;
Mac Act. 47/48 |
S-9 |
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· Multiply greater numbers.
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4.1 – 4.4 |
Chapter 3.4 – Multiplying Greater
Numbers, pp. 98-99
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Practice 25; Reteaching 25; Enrichment 25;
Mac Act. 49/50 |
S-9 |
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· Use exponents.
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4.1 – 4.4 |
Chapter 3.5 – Exponents, pp. 100-101
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Teacher Observation |
Practice 26; Reteaching 26; Enrichment 26;
Mac Act. 51/52 |
M. I |
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· Problem solve – solve a multi-step problem.
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4.1 – 4.4 |
Chapter 3.6 – Problem Solving: Solving
a Multi-step Problem, pp. 102-103
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Mid-chapter Quiz |
Practice 27; Reteaching 27; Enrichment 27;
Mac Act. 53/54 |
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· Think mathematically.
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4.1 – 4.4 |
Chapter 3.7 – Thinking Mathematically,
pp. 104-105 |
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· Use mental math – multiply decimals.
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4.1 – 4.4 |
Chapter 3.8 – Mental Math: Multiplying
Decimals, pp. 106-107 |
Teacher Observation |
Practice 28; Reteaching 28; Enrichment 28;
Mac Act. 55/56 |
S-9 |
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· Multiply decimals by whole numbers.
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4.1 – 4.4 |
Chapter 3.9 – Multiplying Decimals By
Whole Numbers, pp. 108-109 |
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Practice 29; Reteaching 29; Enrichment 29;
Mac Act. 57/58 |
S-9 |
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· Estimate decimal products.
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4.1
4.10 |
Chapter 3.10 – Estimating Decimal
Products, pp. 110-111 |
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Practice 30; Reteaching 30; Enrichment 30;
Mac Act. 59/60 |
S-9 |
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· Multiply decimals.
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4.1 – 4.4 |
Chapter 3.11 – Multiplying Decimals,
p. 112-113 |
Teacher Observation |
Practice 31; Reteaching 31; Enrichment 31;
Mac Act. 61/62 |
S-9 |
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· Multiply more decimals.
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4.1 – 4.4 |
Chapter 3.12 – More Multiplying
Decimals, pp. 114-115 |
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Practice 32; Reteaching 32; Enrichment 32;
Mac Act. 63/64 |
S-9 |
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· Problem solve – find needed information.
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4.1 – 4.4
4.6 |
Chapter 3.13 – Problem Solving: Finding
Needed Information, pp. 116-117 |
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Practice 33; Reteaching 33; Enrichment 33;
Mac Act. 65/66 |
S-9 |
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· Find the areas of triangles.
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4.1 – 4.4
4.6 |
Chapter 3.14 – Areas of Triangles,
pp. 118-119 |
Teacher Observation |
Practice 34; Reteaching 34; Enrichment 34;
Mac Act. 67/68 |
S-9
M. I |
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· Find the volume of rectangular prisms.
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4.1- 4.4
4.6 |
Chapter 3.15 – Volumes of Rectangular
Prisms, pp. 120-121 |
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Practice 35; Reteaching 35; Enrichment 35;
Mac Act. 69/70 |
M. II |
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· Make a decision.
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4.1 –4.4 |
Chapter 3.16 – Decision Making,
pp. 122-123 |
Teacher Observation |
Calculators
Cooperative Learning
Teams |
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· Understand & determine optimum heart
rates.
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Chapter 3 – Curriculum Connection,
p. 124 |
Science |
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· Use computer spreadsheet to analyze income
& expenses.
|
4.1 – 4.6 |
Chapter 3 – Technology, p. 125 |
Computers |
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· Review the skills & concepts presented in
chapter.
|
4.1 – 4.16 |
Chapter 3 – Chapter Review, p. 132
Chapter 3 – Chapter Test, p. 134
|
Assess students understanding of concepts & skills presented in
chapter 3.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
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· Discover the relationship between perimeters
& areas of figures.
|
4.1 – 4.5 |
Chapter 3 – Enrichment for All, p. 135
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· Review previously learned skills &
concepts.
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4.1 – 4.16 |
Chapter 3 – Cumulative Review, p. 136
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Answer Grid |
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UNIT 4
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Dividing Whole Numbers
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|
Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
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· Use algebra relating to multiplication &
division.
|
4.1 – 4.4
4.13
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Chapter 4.1 – Algebra Relating
Multiplication & Division, pp. 138-139
|
Teacher Observation |
Practice 36; Reteaching 36; Enrichment 36;
Mac Act. 71/72
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S-9
M. V |
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· Use mental math – division patterns.
|
4.1 – 4.4
4.11 |
Chapter 4.2 – Mental Math: Division
Patterns, pp. 140-141 |
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Practice 37; Reteaching 37; Enrichment 37;
Mac Act. 73/74
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· Estimate quotients.
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4.1 – 4.4
4.11 |
Chapter 4.3 – Estimating Quotients,
pp. 142-143
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Teacher Observation |
Practice 38; Reteaching 38; Enrichment 38;
Mac Act. 75/76 |
S-9 |
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· Divide one-digit numbers.
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4.1 – 4.4 |
Chapter 4.4 – Dividing One-Digit
Numbers, pp. 144-145
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Practice 39; Reteaching 39; Enrichment 39;
Mac Act. 77/78 |
S-9 |
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· Divide using two-digit numbers.
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4.1 – 4.4 |
Chapter 4.5 – Dividing Two-Digit
Numbers, pp. 146-147
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Teacher Observation |
Practice 40; Reteaching 40; Enrichment 40;
Mac Act. 79/80 |
S-9 |
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· Divide – changing estimates.
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4.1 – 4.4
4.10 |
Chapter 4.6 – Dividing: Changing
Estimates, pp. 148-149
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Practice 41; Reteaching 41; Enrichment 41;
Mac Act. 81/82 |
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· Problem solve – make a table.
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4.1 – 4.4 |
Chapter 4.7 – Problem Solving: Making
a Table, pp. 150-151
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Mid-chapter Quiz |
Practice 42; Reteaching 42; Enrichment 42;
Mac Act. 83/84 |
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· Think mathematically.
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4.1 – 4.4 |
Chapter 4.8 – Thinking Mathematically,
pp. 152-153
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· Divide greater numbers.
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4.1 – 4.4 |
Chapter 4.9 – Dividing Greater Numbers, pp. 154-155 |
Teacher Observation |
Practice 43; Reteaching 43; Enrichment 43;
Mac Act. 85/86 |
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· Use algebra – multiplying & dividing
equations.
|
4.1 – 4.4
4.13 |
Chapter 4.10 – Algebra: Multiplication &
Division Equations, pp. 156-157 |
Teacher Observation |
Practice 44; Reteaching 44; Enrichment 44;
Mac Act. 87/88 |
S-9
M. V
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· Problem solve using algebraic equations.
|
4.1 – 4.4
4.13 |
Chapter 4.11 – Problem Solving: Using
Algebraic Equations, pp. 158-159 |
|
Practice 45; Reteaching 45; Enrichment 45;
Mac Act. 87/88 |
M. V
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· Add & subtract units of times using
algorithms.
|
4.1 – 4.4 |
Chapter 4.12 – Adding & Subtracting
Units of Time, pp. 160-161 |
|
Practice 46; Reteaching 46; Enrichment 46;
Mac Act. 89/90 |
M. II
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· Tell elapsed time on a clock & on a
calendar.
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4.1 –4.4 |
Chapter 4.13 – Elapsed Time,
pp. 162-163 |
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Practice 47; Reteaching 47; Enrichment 47;
Mac Act. 91/92 |
S-9
M. II
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· Make a decision on choosing a mode of
transportation for a family trip.
|
4.1 – 4.6 |
Chapter 4.14 – Decision Making,
pp. 164-165 |
Teacher Observation |
Calculators
Cooperative Learning
Teams |
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· Understand & use latitude & longitude
measures.
|
4.1 – 4.5 |
Chapter 4 – Curriculum Connection,
p. 166
|
Geography |
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· Use a calculator to solve problems.
|
4.1 – 4.6 |
Chapter 4 – Technology, p. 167
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Calculators |
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· Review the skills & concepts presented in
the chapter.
|
4.1 – 4.16 |
Chapter 4 – Chapter Review, pp. 174-175
Chapter 4 – Chapter Test, p. 176
|
Assess students understanding of concepts & skills presented in
chapter 4.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
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· Read schedules that use a 24-hour clock.
|
4.1 – 4.5 |
Chapter 4 – Enrichment For All, p. 177
|
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· Review previously learned skills &
concepts.
|
4.1 – 4.16 |
Chapter 4 – Cumulative Review, p. 178
|
Answer Grid |
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UNIT 5
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Dividing Decimals
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|
Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
|
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· Use mental math to divide patterns with powers
of 10.
|
4.1 – 4.4 |
Chapter 5.1 – Mental Math: Dividing Patterns With Powers of 10, pp.
180-181 |
Teacher Observation |
Practice 48; Reteaching 48; Enrichment 48;
Mac Act. 93/94 |
M. III
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· Divide decimals by whole numbers.
|
4.1 – 4.4 |
Chapter 5.2 – Dividing Decimals By
Whole Numbers, pp. 182-183 |
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|
S-9 |
|
· Use zeros in the quotient & the dividend.
|
4.1 – 4.4 |
Chapter 5.3 – Zeros in the Quotient &
The Dividend, pp. 184-185 |
Teacher Observation |
|
S-9 |
|
· Problem solve using strategies of guess, test
& revise.
|
4.1 –4.4 |
Chapter 5.4 – Problem Solving Strategy:
Guess, Test & Revise, pp. 186-187 |
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|
S-9 |
|
· Explore dividing decimals by decimals.
|
4.1 – 4.4 |
Chapter 5.5 – Dividing Decimals byDecimals, pp. 188-189 |
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· Divide decimals by decimals.
|
4.1 – 4.4 |
Chapter 5.6 – Dividing Decimals by
Decimals, pp. 190-191 |
Mid-chapter Quiz |
|
S-9 |
|
· Use zeros in the quotient & dividend.
|
4.1 – 4.4 |
Chapter 5.7 – Zeros in the Quotient &
the Dividend, pp. 192-193 |
Teacher Observation
|
|
S-9 |
|
· Round decimal quotients.
|
4.1 – 4.4 |
Chapter 5.8 – Rounding Decimal
Quotients, pp. 194-195 |
|
|
|
|
· Think mathematically.
|
4.1 – 4.4 |
Chapter 5.9 – Thinking Mathematically,
pp. 196-197 |
Teacher Observation |
Practice 54; Reteaching 54; Enrichment 54;
Mac Act. 107/108 |
|
|
· Perform algebra using the order of operations.
|
4.1 – 4.4
4.13 |
Chapter 5.10 – Algebra: Order of Operations, pp. 198-199 |
|
|
M. V |
|
· Know the metric units of capacity & mass.
|
4.1 – 4.4
4.10 |
Chapter 5.11 – Metric Units of Capacity
& Mass, pp. 200-201 |
|
Practice 55; Reteaching 55; Enrichment 55;
Mac Act. 109/110 |
M. I |
|
· Convert metric measures.
|
4.1- 4.4 |
Chapter 5.12 – Converting Metric
Measures, p. 202-203 |
|
Practice 56; Reteaching 56; Enrichment 56;
Mac Act. 111/112 |
M. I |
|
· Problem solve using estimation.
|
4.1 - 4.4
4.10 |
Chapter 5.13 – Problem Solving Using
Estimation, pp. 204-205 |
|
Practice 57; Reteaching 57; Enrichment 57;
Mac Act. 113/114 |
S-9 |
|
· Use mean, median, mode & range.
|
4.1- 4.4
4.10 |
Chapter 5.14 – Mean, Median, Mode &
Range, pp. 206-207 |
Teacher Observation |
Practice 58; Reteaching 58; Enrichment 58;
Mac Act. 115/116 |
S-9
M. IV |
|
· Know the effects of changes on data.
|
4.1 – 4.4 |
Chapter 5.15 – Effects of Changes on
Data, pp. 208-209 |
|
Practice 59; Reteaching 59; Enrichment 59;
Mac Act. 117/118 |
|
|
· Use decision making skills.
|
4.1 – 4.6
4.13 |
Chapter 5.16 – Decision Making,
pp. 210-211 |
Teacher Observation |
Calculators
Cooperative Learning
Teams |
|
|
·Understand/compute the cost of heating with
wood.
|
4.1 – 4.5 |
Chapter 5 – Curriculum Connection,
p. 212 |
Science |
|
|
|
· Use a spreadsheet to find mean, mode &
median.
|
4.1 – 4.6 |
Chapter 5 – Technology, p. 213 |
|
Computer
Spreadsheet |
|
|
· Review the skills & concepts presented in
the chapter.
|
4.1 – 4.6 |
Chapter 5 – Chapter Review, pp. 220-221
Chapter 5 – Chapter Test, p. 222 |
Assess students understanding of concepts & skills presented in
chapter 5.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
|
|
|
· Identify magic squares & generate new
magic squares.
|
4.1 – 4.6 |
Chapter 5 – Enrichment For All, p. 223
|
Teacher Observation |
|
|
|
· Review previously learned skills &
concepts.
|
4.1 – 4.16 |
Chapter 5 – Cumulative Review, p. 224 |
Answer Grid |
|
|
|
UNIT 6
|
|
Number Theory & Fractions
|
|
Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
|
|
· Use mental math – divisibility.
|
4.1 – 4.4
|
Chapter 6.1 – Mental Practice Math:
Divisibility, pp. 226-227 |
Teacher Observation |
Practice 61; Reteaching 61; Enrichment 61;
Mac Act. 121/122 |
|
|
· Use factors & greatest common factors.
|
4.1 – 4.4 |
Chapter 6.2 – Factors & Greatest
Common Factors, pp.228-229 |
|
Practice 62; Reteaching 62; Enrichment 62;
Mac Act. 123/124 |
M. I |
|
· Use prime & composite numbers.
|
4.1 – 4.4 |
Chapter 6.3 – Prime & Composite
Numbers, pp. 230-231 |
Teacher Observation |
Practice 63; Reteaching 63; Enrichment 63;
Mac Act. 125/126 |
M. I |
|
· Use multiples & least common multiples.
|
4.1 – 4.4 |
Chapter 6.4 – Multiples & Least
Common Multiples, pp. 232-233 |
|
Practice 64; Reteaching 64; Enrichment 64;
Mac Act. 127/128 |
M. I |
|
· Solve problems by finding patterns.
|
4.1 – 4.4 |
Chapter 6.5 – Problem Solving: Finding
A Pattern, p. 234-235 |
Teacher Observation |
Practice 65; Reteaching 65; Enrichment 65;
Mac Act. 129/130 |
S-9 |
|
· Write fractions for parts of sets &
equivalent fractions.
|
4.1 – 4.4 |
Chapter 6.6 – Fractions & Equivalent
Fractions, pp. 236-237 |
Mid-chapter Quiz |
Practice 66; Reteaching 66; Enrichment 66;
Mac Act. 131/132 |
S-9 |
|
· Simplify fractions.
|
4.1 – 4.4 |
Chapter 6.7 – Fractions in Simplest Form,
pp. 238-239 |
|
Practice 67; Reteaching 67; Enrichment 67;
Mac Act. 133/134 |
S-9
|
|
· Use visual reasoning & identify patterns.
|
4.1 – 4.4 |
Chapter 6.8 – Thinking Mathematically,
p. 240 |
Teacher Observation |
|
|
|
· Write mixed numbers & whole numbers for
improper fractions.
|
4.1 – 4.4 |
Chapter 6.9 – Mixed Numbers,
pp. 242-243 |
Teacher Observation |
Practice 68; Reteaching 68; Enrichment 68;
Mac Act. 135/136 |
S-9 |
|
· Compare & order fractions & mixed
numbers.
|
4.1 – 4.4 |
Chapter 6.10 – Comparing & Ordering,
pp. 244-245 |
|
Practice 69; Reteaching 69; Enrichment 69;
Mac Act. 137/138 |
S-9 |
|
· Round fractions & mixed numbers to nearest
whole or half number.
|
4.1 – 4.4 |
Chapter 6.11 – Rounding Fractions &
Mixed Numbers, pp. 246-247 |
|
Practice 70; Reteaching 70; Enrichment 70;
Mac Act. 139/140 |
|
|
· Use customary units of lengths. Measure &
draw lengths ½ to 1/16.
|
4.1 – 4.4 |
Chapter 6.12 – Customary Units of
Lengths, pp. 248-249 |
|
Practice 71; Reteaching 71; Enrichment 71;
Mac Act. 141/142 |
S-9 |
|
· Use customary units of capacity & weight.
|
4.1 – 4.4 |
Chapter 6.13 – Customary Units of
Capacity & Weight, pp. 250-251 |
|
Practice 72; Reteaching 72; Enrichment 72;
Mac Act. 143/144 |
|
|
· Explore writing fractions as decimals &
vice versa.
|
4.1 – 4.4 |
Chapter 6.14 – Fractions, Mixed
Numbers & Decimals, pp. 252-253 |
Teacher Observation |
|
S-9 |
|
· Rename decimals as fractions or mixed numbers
& vice versa.
|
4.1 – 4.4 |
Chapter 6.15 – Fractions, Mixed
Numbers & Decimals, pp. 254-255 |
|
Practice 73; Reteaching 73; Enrichment 73;
Mac Act. 145/146 |
S-9 |
|
· Solve problems using different strategies.
|
4.1 – 4.16 |
Chapter 6.16 – Problem Solving: Using
Different Strategies, pp. 256-257 |
|
Practice 74; Reteaching 74; Enrichment 74;
Mac Act. 147/148 |
S-9 |
|
· Make a decision about choosing a doghouse.
|
4.1 – 4.16 |
Chapter 6. 17 – Decision Making,
pp. 258-259 |
Teacher Observation |
Calculators
Cooperative Learning
Teams |
|
|
· Understand how musical pitches are produced on
stringed instruments.
|
4.1 – 4.16 |
Chapter 6 – Curriculum Connection,
p. 260 |
|
Music
Shoebox
Rubber bands |
|
|
· Use the computer to find prime numbers.
|
4.1 – 4.16 |
Chapter 6 – Technology, p. 261 |
|
Computer |
|
|
· Review the skills & concepts presented in
the chapter.
|
4.1 – 4.16 |
Chapter 6 – Chapter Review, pp. 268-269
Chapter 6 – Chapter Test, p. 270
|
Assess students understanding of concepts & skills presented in
chapter 6.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
|
|
|
· Understand terminating & repeating
decimals.
|
4.1 |
Chapter 6 – Enrichment For All, p. 271
|
|
|
|
|
· Review & maintain previously learned
skills & concepts.
|
4.1 – 4.16 |
Chapter 6 – Cumulative Review, p. 272
|
Answer Grid |
|
|
|
UNIT 7
|
|
Adding & Subtracting Fractions & Mixed Numbers
|
|
Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
|
|
· Estimate sums & differences of fractions
& mixed numbers.
|
4.1 – 4.4 |
Chapter 7.1 – Estimating Sums &
Differences, pp. 274-275 |
Teacher Observation |
Practice 75; Reteaching 75; Enrichment 75;
Mac Act. 149/150
|
|
|
· Add & subtract with like denominators.
|
4. 1 – 4.4 |
Chapter 7.2 – Adding & Subtracting:
Like Denominators, p. 276-277 |
|
Practice 76; Reteaching 76; Enrichment 76;
Mac Act. 151/152
|
S-9 |
| · Add fractions with unlike denominators.
|
4.1 – 4.4 |
Chapter 7.3 – Adding Fractions: Unlike
Denominators, pp. 278-279 |
Teacher Observation |
Practice 77; Reteaching 77; Enrichment 77;
Mac Act. 153/154 |
S-9 |
| · Subtract fractions with unlike denominators.
|
4.1 – 4.4 |
Chapter 7.4 – Subtracting Fractions:
Unlike Denominators, pp. 280-281 |
|
Practice 78; Reteaching 78; Enrichment 78;
Mac Act. 155/156 |
S-9 |
| · Solve problems that involve number sense.
|
4.1 – 4.4 |
Chapter 7.5 – Problem Solving: Using
Number Sense, p. 282-283 |
Mid-chapter Quiz |
Practice 79; Reteaching 79; Enrichment 79;
Mac Act. 157/158 |
S-9 |
| · Use logical reasoning. Add, subtract, multiply
& divide whole numbers.
|
4.1 – 4.4 |
Chapter 7.6 – Thinking Mathematically, pp. 284-285 |
Teacher Observation |
|
|
| · Explore adding & subtracting mixed
numbers.
|
4.1 – 4.4 |
Chapter 7.7 – Adding & Subtracting
Mixed Numbers, pp. 286-287 |
|
|
S-9
M. I |
| · Add mixed numbers.
|
4.1 – 4.4 |
Chapter 7.8 – Adding Mixed Numbers,
pp. 288-289 |
Teacher Observation |
Practice 80; Reteaching 80; Enrichment 80;
Mac Act. 159/160 |
S-9
M. I |
|
· Subtract mixed numbers without renaming.
|
4.1 – 4.4 |
Chapter 7.9 – Subtracting Mixed
Numbers, pp. 290-291 |
|
Practice 81; Reteaching 81; Enrichment 81;
Mac Act. 161/162 |
S-9
M. I |
|
· Subtract mixed numbers renaming once.
|
4.1 – 4.4 |
Chapter 7.10 – Subtract Mixed Numbers
With Renaming, pp. 292-293 |
|
Practice 82; Reteaching 82; Enrichment 82;
Mac Act. 163/164 |
S-9 |
|
· Solve problems that involve checking the
reasonableness of the answers.
|
4.1 – 4.4 |
Chapter 7.11 – Problem Solving:
Checking For a Reasonable Answer,
pp. 294-295 |
|
Practice 83; Reteaching 83; Enrichment 83;
Mac Act. 165/166 |
S-9 |
|
· Make decisions about choosing a floor plan for
a meeting.
|
4.1 – 4.6 |
Chapter 7.12 – Decision Making,
pp. 292-297 |
Teacher Observation |
Calculators
Cooperative Learning
Teams |
M. I |
|
· Understand the origins of hat sizes.
|
4.1 – 4.5 |
Chapter 7 – Curriculum Connection,
p. 298 |
Social Studies |
|
|
|
· Gather data/use the computer to draw double
line graphs.
|
4.1 – 4.6 |
Chapter 7 – Technology, p. 299 |
Teacher Observation |
Computer Graphing |
|
|
· Review the skills & concepts presented in
the chapter.
|
4.1 – 4.16 |
Chapter 7 – Chapter Review, pp. 306-307
Chapter 7 – Chapter Test, p. 308
|
Assess students understanding of concepts & skills presented in
chapter 7.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
|
|
|
· Understand fractions in Egyptian symbols.
|
4.1 |
Chapter 7 – Enrichment For All, p. 309
|
|
|
|
|
· Review previously learned skills &
concepts.
|
4.1 – 4.16 |
Chapter 7 – Cumulative Review, p. 310
|
Answer Grid |
|
|
|
UNIT 8
|
|
Multiplying & Dividing Fractions & Mixed Numbers
|
|
Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
|
|
· Multiply two fractions & whole numbers.
Find the reciprocal of whole numbers & fractions.
|
4.1 – 4.4 |
Chapter 8.1 – Multiplying Fractions,
pp. 312-313
|
Teacher Observation |
Practice 84; Reteaching 84; Enrichment 84;
Mac Act. 167/168 |
S-9 |
|
· Multiply fractions using the shortcut.
Estimate products of fractions.
|
4.1 – 4.4
4.10 |
Chapter 8.2 – Multiplying Fractions:
Using a Shortcut, pp. 314-315 |
|
Practice 85; Reteaching 85; Enrichment 85;
Mac Act. 169/170 |
|
|
· Explore multiplying mixed numbers.
|
4.1 – 4.4 |
Chapter 8.3 – Multiplying Mixed
Numbers, pp. 316-317 |
|
|
S-9 |
|
· Develop a method for multiplying a fraction
& a mixed number.
|
4.1 – 4.4 |
Chapter 8.4 – Multiplying Fractions &
Mixed Numbers, pp. 318-319 |
Teacher Observation |
Practice 86; Reteaching 86; Enrichment 86;
Mac Act. 171/172 |
S-9 |
|
· Multiply fractions & mixed numbers.
Estimate the product of fractions/mixed numbers.
|
4.1 – 4.4 |
Chapter 8.5 – Multiplying Mixed
Numbers, pp. 320-321 |
|
Practice 87; Reteaching 87; Enrichment 87;
Mac Act. 173/174 |
S-9 |
|
· Solve problems by solving simpler problems.
|
4.1 – 4.4. |
Chapter 8.6 – Problem Solving: Solving
a Simpler Problem, pp. 322-323 |
Mid-chapter Quiz |
Practice 88; Reteaching 88; Enrichment 88;
Mac Act. 175/176 |
S-9 |
|
· Use number sense. Understand large numbers.
Convert units of measure.
|
4.1 – 4.4 |
Chapter 8.7 – Thinking Mathematically,
pp. 324-325 |
|
|
|
|
· Explore dividing whole numbers by fractions.
|
4.1 – 4.4 |
Chapter 8.8 – Dividing Whole Numbers
By Fractions, pp. 326-327 |
|
|
S-9 |
|
· Divide fractions with common denominators by
discovering a method based diagram.
|
4.1 – 4.4 |
Chapter 8.9 – Dividing Fractions:
Common Denominators, pp. 328-329 |
Teacher Observation
|
Practice 89; Reteaching 89; Enrichment 89;
Mac Act. 177/178 |
S-9 |
|
· Divide fractions with different denominators.
|
4.1 – 4.4 |
Chapter 8.10 – Dividing Fractions:
Different Denominators, pp. 330-331 |
|
Practice 90; Reteaching 90; Enrichment 90;
Mac Act. 179/180 |
S-9 |
|
· Solve problems that involve working backward.
|
4.1 – 4.4
4.11 |
Chapter 8.11 – Problem Solving: Working Backward, pp. 332-333 |
Teacher Observation
|
Practice 91; Reteaching 91; Enrichment 91;
Mac Act. 181/182 |
S-9 |
|
· Add, subtract, multiply & convert
customary units to length.
|
4.1 – 4.4 |
Chapter 8.12 – Converting Customary
Measures, pp. 334-335 |
|
Practice 92; Reteaching 92; Enrichment 92;
Mac Act. 183/184 |
S-9 |
|
· Find the area of parallelograms &
triangles.
|
4.1 – 4.4 |
Chapter 8.13 – Areas of Parallelograms &
Triangles, pp. 336-337 |
|
|
M. II |
|
· Make decisions about how to choose between
several characters.
|
4.1 – 4.6 |
Chapter 8.14 – Decision Making,
pp. 338-339 |
Teacher Observation
|
Calculators
Cooperative Learning
Teams |
|
|
· Understand the use of calories to measure
energy.
|
4.1 – 4.4 |
Chapter 8 – Curriculum Connection,
p. 340
|
Science |
|
|
|
· Use the order of operations & memory keys
with a calculator.
|
4.1 4.6 |
Chapter 8 – Technology, p. 341
|
|
Calculator |
|
|
· Review the skills & concepts presented in
the chapter.
|
4.1 – 4.16 |
Chapter 8 – Chapter Review, pp. 348-349
Chapter 8 – Chapter Test, p. 350
|
Assess students understanding of concepts & skills presented in
chapter 8.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
|
|
|
· Discover the pattern used to determine the sum
of a given number.
|
4.1 – 4.5
4.11 |
Chapter 8 – Enrichment For All, p. 351
|
|
|
|
|
· Review previously learned skills &
concepts.
|
4.1 – 4.16 |
Chapter 8 – Cumulative Review, p. 352
|
Answer Grid |
|
|
|
UNIT 9
|
|
Geometry
|
|
Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
|
|
· Identify geometry figures.
|
4.1 – 4.7 |
Chapter 9.1 – Geometric Figures,
pp. 354-355 |
Teacher Observation |
Practice 94; Reteaching 94; Enrichment 94;
Mac Act. 187/188 |
M. II
|
· Identify measures – acute, obtuse, right
& straight angles. Identify complimentary/
supplementary angles. |
4.1 – 4.4
4.6 – 4.9 |
Chapter 9.2 – Measuring Angles,
pp. 356-357
|
Teacher Observation
|
Practice 95; Reteaching 95; Enrichment 95;
Mac Act. 189/190 |
S-9
M. II |
|
· Identify intersecting, perpendicular &
parallel lines.
|
4.1 – 4.4
4.7 |
Chapter 9.3 – Perpendicular & Parallel
Lines, pp. 358-359
|
|
Practice 96; Reteaching 96; Enrichment 96;
Mac Act. 191/192 |
|
|
· Construct congruent figures using a compass
& straightedge.
|
4.1 – 4.7 |
Chapter 9.4 – Compass Constructions,
pp. 360-361
|
|
Practice 97; Reteaching 97; Enrichment 97;
Mac Act. 193/194 |
|
|
· Classify triangles.
|
4.1 – 4.4
4.7 |
Chapter 9.5 – Triangles, pp. 362-363
|
Mid-chapter Quiz
|
Practice 98; Reteaching 98; Enrichment 98;
Mac Act. 195/196 |
M. II |
|
· Classify quadrilaterals.
|
4.1 – 4.7 |
Chapter 9.6 – Quadrilaterals, pp. 364-365
|
|
Practice 99; Reteaching 99; Enrichment 99;
Mac Act. 197/198 |
|
|
· Classify polygons.
|
4.1 – 4.4 |
Chapter 9.7 – Other Polygons,
pp. 366-367
|
Teacher Observation
|
Practice 100; Reteaching 100; Enrichment 100;
Mac Act. 199/200 |
|
|
· Solve problems by making organized lists.
|
4.1 – 4.7 |
Chapter 9.8 – Problem Solving: Making
a List, pp. 368-369 |
|
Practice 101; Reteaching 101; Enrichment 101;
Mac Act. 201/202 |
S-9 |
|
· Identify patterns. Add, subtract, multiply
& divide to solve equations.
|
4.1 – 4.4 |
Chapter 9.9 – Thinking Mathematically,
pp. 370-371 |
Teacher Observation |
|
|
|
· Identify congruent & similar figures.
|
4.1 – 4.4 |
Chapter 9.10 – Congruence & Similarity,
pp. 372-373 |
|
Practice 102; Reteaching 102; Enrichment 102;
Mac Act. 203/204 |
|
|
· Identify symmetric figures & lines of
symmetry.
|
4.1 – 4.4 |
Chapter 9.11 – Symmetry & Reflections,
pp. 374-375 |
|
Practice 103; Reteaching 103; Enrichment 103;
Mac Act. 205/206 |
S-9 |
|
· Draw translations & rotations of figures.
|
4.1 – 4.4 |
Chapter 9.12 – Translations & Rotations,
pp. 376-377 |
Teacher Observation |
Practice 104; Reteaching 104; Enrichment 104;
Mac Act. 207/208 |
S-9 |
|
· Solve problems that involve the strategies
presented to date.
|
4.1 – 4.4 |
Chapter 9.13 – Problem Solving:
Strategies Review, pp. 378-379 |
|
Practice 105; Reteaching 105; Enrichment 105;
Mac Act. 209/210 |
S-9 |
|
· Make decisions about choosing a sound system
for a school music room.
|
4.1 – 4.4 |
Chapter 9.14 – Decision Making,
pp. 380-381 |
Teacher Observation |
Calculators
Cooperative Learning
Teams |
|
|
· Understand the origins & meanings of terms
related to mathematics.
|
4.1 – 4.4 |
Chapter 9 – Curriculum Connection,
p. 382 |
Language Arts |
|
|
|
· Use logo to translate, rotate & reflect
figures.
|
4. 1 |
Chapter 9 – Technology, p. 383 |
Teacher Observation |
Computer |
|
|
· Review the skills & concepts presented in
the chapter.
|
4.1 – 4.16 |
Chapter 9 – Chapter Review, pp. 390-391
Chapter 9 – Chapter Test, p. 392 |
Assess students understanding of concepts & skills presented in
chapter 9.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
|
|
|
· Use a straightedge & a compass to
construct bisectors of segments.
|
4.1 |
Chapter 9 – Enrichment For All, p. 393 |
|
|
|
|
· Review previously learned skills &
concepts.
|
4.1- 4.16 |
Chapter 9 – Cumulative Review, p. 394 |
Answer Grid |
|
|
|
UNIT 10
|
|
Ratio, Proportion & Percent
|
|
Mathematics In Action,
MacMillan/McGraw Hill,
Copyright 1992 |
|
|
· Write ratios in three ways.
|
4.1 – 4.4 |
Chapter 10.1 – Ratios & Rates,
pp. 396-397
|
Teacher Observation
|
Practice 106; Reteaching 106; Enrichment 106;
Mac Act. 211/212 |
M. I
|
|
· Identify & write equal ratios.
|
4.1 – 4.4 |
Chapter 10.2 – Equal Ratios, pp. 398-399
|
|
Practice 107; Reteaching 107; Enrichment 107;
Mac Act. 213/214 |
M. I
|
|
· Solve proportions.
|
4.1 – 4.4 |
Chapter 10.3 – Algebra: Proportions,
pp. 400-401
|
|
Practice 108; Reteaching 108; Enrichment 108;
Mac Act. 215/216 |
M. I, V
|
|
· Find actual & scale lengths given the
corresponding lengths.
|
4.1 – 4.4 |
Chapter 10.4 – Algebra: Scale Drawings,
pp. 402-403
|
Teacher Observation
|
Practice 109; Reteaching 109; Enrichment 109;
Mac Act. 217/218 |
M. I, V
|
|
· Find the missing lengths given pairs of
similar figures.
|
4.1 – 4.4 |
Chapter 10.5 – Algebra: Similar Figures,
pp. 404-405
|
Mid-chapter Quiz
|
|
|
|
· Solve problems by writing & solving
equations.
|
4.1 – 4.4 |
Chapter 10.6 – Problem Solving: Using
Algebraic Equations, pp. 406 –407
|
|
Practice 110; Reteaching 110; Enrichment 110;
Mac Act. 219/220 |
M. I, V
|
|
· Identify patterns. Develop a game playing
strategy.
|
4.1 – 4.4 |
Chapter 10.7 – Thinking Mathematically,
pp. 408-409
|
Teacher Observation
|
Practice 111; Reteaching 111; Enrichment 111;
Mac Act. 221/222 |
M. I
|
|
· Explore percents.
|
4.1 – 4.4 |
Chapter 10.8 – Percents, pp. 410-411
|
|
|
M. I
|
|
· Write & rename percents as decimals &
vice-versa.
|
4.1 – 4.4 |
Chapter 10.9 – Percents & Decimals,
pp. 412-413
|
|
Practice 112; Reteaching 112; Enrichment 112;
Mac Act. 223/224 |
M. I |
|
· Write & rename percents as fractions &
vice-versa.
|
4.1 – 4.4 |
Chapter 10.10 – Percents & Fractions,
pp. 414-415
|
Teacher Observation |
Practice 113; Reteaching 113; Enrichment 113;
Mac Act. 225/226 |
M. I |
|
· Explore finding a percent of a number.
|
4.1 |
Chapter 10.11 – Percent of a Number,
pp. 416-417
|
Teacher Observation |
|
M. I |
|
· Solve problems that involve using circle
graphs.
|
4.1 – 4.4 |
Chapter 10.12 – Problem Solving: Using
Information from a Graph, pp. 418-419
|
|
Practice 114; Reteaching 114; Enrichment 114;
Mac Act. 227/228 |
|
|
· Make decisions about choosing all day bicycle
tour.
|
4.1 – 4.4 |
Chapter 10.13 – Decision Making, pp.
420-421
|
Teacher Observation |
|
|
|
· Understand & use the golden rectangle
& the golden ratio.
|
4.1 – 4.4. |
Chapter 10 – Curriculum Connection,
p. 422
|
Art |
Calculators
Cooperative Learning
Teams |
|
|
· Use a computer to draw a circle graph.
|
4.1 – 4.4 |
Chapter 10 – Technology, p. 423
|
Teacher Observation |
Computer Graphing |
|
|
· Review the skills & concepts presented in
the chapter.
|
4.1 – 4.16 |
Chapter 10 – Chapter Review,
pp. 430-431
Chapter 10 – Chapter Test, p. 432
|
Assess students understanding of concepts & skills presented in
chapter 10.
Test Forms A/B – Multiple Choice
Test Form C – Free Response |
|
|
|
· Make & use a hypsometer.
|
4.1 |
Chapter 10 – Enrichment For All, p. 433
|
|
|
|
|
· Review previously learned skills &
concepts.
|
4.1 – 4.16 |
Chapter 10 – Cumulative Review, p. 434
|
Answer Grid |
|
|
|
UNIT 11
|
|
Measurement: Area & |