th Grade Math Lesson Plans Week 1, Day 1 - Pittsburgh · PDF file · 2013-06-177th...

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7th Grade Math Lesson Plans Week 1, Day 1

Topic of the Week: Percents (Note: Lessons are from Level I, Unit 3, Week 1)

During this week, begin incorporating “Buying a Car”

Topic Title Number of

Minutes

Materials Example/Description

Number Worlds Getting started 10 See Planning

Ahead, p. 2E

“Planning Ahead” - Complete the activity “Access Vocabulary” - review as needed “Creating Context” – follow suggestion as appropriate

Number Worlds

Unit 3, Week 1,

Lesson 1

Percents

70

Level I, Teacher’s manual pages 2E, 2-3

Spending Spree, p. B66, 1 per camper

Practice, p. 41 Vocabulary Card

25 Colored pencils Student workbook

pp. 2-3

Campers use models to represent percents and then list their equivalent fraction and decimal representation. Please refer to p.2E and p. 2-3 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 41

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Topic Title Number of Minutes


Number Worlds Getting started 10 See Planning

Ahead, p. 4A

“Planning Ahead” - Complete the activity “Access Vocabulary” - review as needed “Creating Context” – follow suggestion as appropriate

Number Worlds

Unit 3, Week 1, Lesson 2

Percents

70

Level I, Teacher’s manual pages 4A, 4-5

Practice, p. 42 Student workbook

pp. 4-5

Campers can solve for unknown percents using cross products and multiplying by 1. Please refer to p.4A and p. 4-5 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 42

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Number Worlds Getting started 10

“Planning Ahead” – none for this lesson “Access Vocabulary” - review as needed “Creating Context” – follow suggestion as appropriate

Number Worlds

Unit 3, Week 1 Lesson 3

Percents

70


Discount and Sales Tax Cards, p. B15, 12 cards per group

Number 1-6 Cubes, 1 per group

3-column ledgers Practice, p. 43 Student workbook

pp. 6-7

Campers can calculate given percentages involving discounts. Please refer to p.6A and p. 6-7 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 43

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Number Worlds


Percents

70





pp. 8-9

Campers calculate given percentages and solve problems involving sales tax, interest earned, and tips. Please refer to p.8A and p. 8-9 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 44

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Topic of the Week: Percents (Note: Lessons are from Seventh Grade Problem Solving Tasks, Week 1)


Minutes


Problem Solving Task Getting Started 10

“Who is Correct?” Worksheet – 1 per student

“Planning Ahead” – set up included Activity Master: Number Line in front of room

“Access Vocabulary” – none for this lesson “Creating Context” – follow suggestion as appropriate

Problem

Solving Task


Percents

70

Activity Master: Fraction, Decimals, and Percent (pre-cut cards for student use)

Number Line (included) posted in front of room

Fractions, Decimals, and Percents, Oh My!

Race Car Stat Evaluate:

Equivalent Rational Numbers

Campers review skills learned this week and complete the weekly assessment. Warm up/Engage: “Who is Correct” Explore: “Fractions, Decimals and Percents, Oh My!” A set of Fraction, Decimal, and Percent pre-cut cards for each group of students Explain: Number Line posted in the front of the room. Elaborate: “Race Car Stat” Evaluate: “Evaluate: Equivalent Rational Numbers”

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Topic of the Week: Ratios (Note: Lessons are from Level I, Unit 3, Week 2)





Number Worlds


Ratios

70

Level I, Teacher’s manual pages 12C, 12-13


36 Student workbook

pp. 12-13 Paper bag, 1 per

group Small scoop or

plastic cup, 1 per group

Multi-colored Counters, about 30 per group

Campers will use ratios to show the relative sizes of two quantities. Please refer to p.12C and p.12-13 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 45

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“Planning Ahead” – none for this activity “Access Vocabulary” - review as needed “Creating Context” – follow suggestion as appropriate

Number Worlds


Ratios

70



pp. 14-15 My Words per

Minute, p. B16, 1 copy per group

Stop watches or timers, 1 per group

Campers will use a ratio table as a tool for proportional thinking and reasoning up to determine unit rates. Please refer to p.14A and p. 14-15 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 46

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Number Worlds


Ratios

70





pp. 16-17

Campers can calculate given percentages involving discounts. Please refer to p.16A and p. 16-17 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 47

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Number Worlds


Ratios

70


Rate and Ratio Tables, p. B21, 1 per student

Number 1-6 Cubes and Number 7-12 Cubes, 1 of each per group


pp. 18-19

Campers compare rates using rate and ratio tables. Please refer to p.18A and p. 18-19 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 48

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Topic of the Week: Ratios (Note: Lessons are from Seventh Grade Problem Solving Tasks, Week 2)


Minutes



“Find Someone Who…” Worksheet – 1 per student

“Planning Ahead” – none for this lesson “Access Vocabulary” – none for this lesson “Creating Context” – follow suggestion as appropriate

Problem

Solving Task


Ratios

70

“Heartbeats” Worksheet – 1 per student

7th Grade Formula Chart (optional)

“Speed Racer” Error Analysis Worksheet

Evaluate: Ratios and Proportions Worksheet

Activity Master: Spinners – 1 set per group

Paperclip – 1 per group

Campers review skills learned this week and complete the weekly assessment. Warm up/Engage: “Find Someone Who…” Worksheet Explore: “Heartbeats” A pre-cut spinner should also be distributed to each student for this activity. Explain: Facilitate a discussion to debrief “Heartbeats.” Elaborate: “Speed Racer” Evaluate: “Evaluate: Ratios and Proportions”

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Topic of the Week: Proportions (Note: Lessons are from Level I, Unit 3, Week 3)

During this week, begin incorporating “I Need a Larger Recipe”


Minutes




Number Worlds


Proportions

70



10 Student workbook

pp. 22-23 Unlined paper Colored pencils 12” rulers

Campers understand and use fractions as operators in proportions. Please refer to p.22C and p.22-23 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 49

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Number Worlds


Proportions

70



pp. 24-25 Vocabulary Card

41, Scale Graph paper Colored pencils Geometric shapes,

2 sizes each per pair

Ruler or protractor with cm, 1 per pair

Campers will use proportions to solve scale problems. Please refer to p.24A and p. 24-25 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 50

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7th Grade Math Lesson Plans

Week 3, Day 13 Topic of the Week: Proportions

(Note: Lessons are from Level I, Unit 3, Week 3 )


Minutes



Fair Is Fair, p. B20, 1 card per camper

“Planning Ahead” – Cut out the Fair Is Fair cards before class. “Access Vocabulary” - review as needed “Creating Context” – follow suggestion as appropriate

Number Worlds


Proportions

70


Fair Is Fair, p. B20, 1 card per camper

Model money – bills and coins


pp. 26-27

Campers use proportions to solve ratio, rate, and scale problems. Please refer to p.26A and p. 26-27 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 51

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“Planning Ahead” – none for this lesson “Access Vocabulary” - review as needed “Creating Context” – as appropriate

Number Worlds


Proportions

70


My Own Space, p. B19, 1 per student

Graph paper Practice, p. 52 Student workbook

pp. 28-29

Campers use proportions to solve scale problems. Please refer to p.28A and p. 28-29 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 52

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Week 3, Day 15 Topic of the Week: Proportions

(Note: Lessons are from Seventh Grade Problem Solving Tasks, Week 3)




“Round Robin: Proportions” Worksheet – 1 per student

“Planning Ahead” – Review Round Robin group activity procedures “Access Vocabulary” – none for this lesson “Creating Context” – follow suggestion as appropriate

Problem

Solving Task


Proportions

70

Rulers (Optional) “School Project”

Worksheet – 1 per student

“Paintbrushes” Worksheet – 1 per student

Evaluate: Proportions – 1 per student

Campers review skills learned this week and complete the weekly assessment. Warm up/Engage: “Round Robin: Proportions” Worksheet (Students must be in groups of 4) Explore: “School Project” (Students must be in groups of 2) Explain: Facilitate a discussion to debrief “School Project.” Elaborate: “Paintbrushes” Evaluate: “Evaluate: Proportions”

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Topic of the Week: Rates (Note: Lessons are from Level I, Unit 3, Week 4)

During this week, begin incorporating “Investigating Unit Rates Project”


Minutes




Number Worlds


Rates

70


Practice, p. 53 Rate and Ratio

Tables, p. B21, 1 per student

Student workbook pp. 32-33

Stopwatches or timers, 1 per group

Campers demonstrate an understanding that rate is a ratio that measures one quantity per unit value compared to another quantity. Please refer to p.32C and p.32-33 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 53

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Number Worlds


Rates

70



pp. 34-35 Ad Lib

Comparison, p. B22, 1 deck per group

Campers demonstrate an understanding of implicit rates. Please refer to p.34A and p. 34-35 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 54

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Number Worlds


Rates

70


Distance/Rate/Time Charts, p. B24, 1 per pair

Number 1-6 Cubes and Number 7-12 Cubes, 1 of each per pair


pp. 36-37

Campers understand rates involving distance, time, and speed. Please refer to p.36A and p. 36-37 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 55

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“Planning Ahead” – none for this lesson “Access Vocabulary” - review as needed “Creating Context” – as appropriate

Number Worlds


Rates

70


Stormy Weather, p. B23, 1 per camper

Flashlights, 1 per group

Stopwatches or timers, 1 per group


pp. 38-39

Campers understand rates involving average speed, distance, and time. Please refer to p.38A and p. 38-39 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 56

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Week 4, Day 20 Topic of the Week: Rates

(Note: Lessons are from Seventh Grade Problem Solving Tasks, Week 4)


Minutes



“The Name Game” Worksheet – 1 per student **Timer or a watch with a second hand is needed for this activity**

“Planning Ahead” – Be certain to have a timer or a watch for this activity “Access Vocabulary” – none for this lesson “Creating Context” – follow suggestion as appropriate

Problem

Solving Task


Rates

70

Rulers “Word Power”

Worksheet – 1 per student

“Independent Practice: Rush Hour” Worksheet – 1 per student

“Rates to tables, to graphs” Worksheet – 1 per student

“Evaluate: Rates” Worksheet – 1 per student

Campers review skills learned this week and complete the weekly assessment. Warm up/Engage: “The Name Game” Explore: “Word Power” (Students must be in groups of 2) “Independent Practice: Rush Hour” Explain: Facilitate a discussion to debrief “Word Power.” Elaborate: “Rates to tables, to graphs” Evaluate: “Evaluate: Rates”

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Week 5, Day 21 Topic of the Week: Functions and Graphs

(Note: Lessons are from Level I, Unit 4, Week 1)



Number Worlds Getting Started 10

“Planning Ahead” – Write the scenarios out ahead of time for the students to reference.

“Access Vocabulary” – review as necessary “Creating Context” – follow suggestion as appropriate

Number Worlds


Functions and

Graphs

70

Level I, Teacher’s manual pages 2E, 2-3


49 Student workbook

pp. 2-3

Campers can begin to explore the meaning of variables and use them to create input/output tables. Please refer to p.2E and p. 2-3 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 57

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Minutes




Number Worlds


Functions and

Graphs

70


Practice, p. 58 Graph Activity

Sheet, p. B25, 2 per camper


Campers can create input/output tables from a simple function and graph the resulting coordinate points. Please refer to p.4A and p. 4-5 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 58

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Topic of the Week: Functions and Graphs (Note: Lessons are from Level I, Unit 4, Week 1)




“Access Vocabulary” - review as needed “Creating Context” – follow suggestion as appropriate “Prepare Ahead” – follow suggestion as appropriate

Number Worlds


Functions and

Graphs

70



pp. 6-7

Campers can begin to use function rules containing both constant and variable amounts. Please refer to p.6A and p. 6-7 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Skill Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 59

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Minutes




Number Worlds


Functions and

Graphs

70


Graph Activity Sheet, p. B25, 2 per camper, 1 transparency


pp. 8-9

Campers can create graphs from functions containing both constant and variable amounts. Please refer to p.8A and p. 8-9 of the Teacher’s Manual for lesson directions. Note: Assessment opportunities are throughout the lesson and not confined to after the “Reflect” portion of lesson… Warm up: “Concept Building” Engage: “Concept Building” (see “Alternative Grouping”) “Using Student Pages” Reflect: “Extended Response” and “Real-World Application” Assess: see Note above “Informal Assessment” *For additional practice, have students complete Practice, p. 60

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Topic of the Week: Functions and Graphs (Note: Lessons are from Level I, Unit 4, Week 1)




“Planning Ahead” – none for this lesson “Access Vocabulary” – none for this lesson “Creating Context” – as appropriate

Number Worlds

Unit 3, Week 5 Lesson 5-

Functions and

Graphs

60

Level I, Teacher’s manual page 10A, 10-11

Review materials will be selected from those used in previous activities


Assessment pp. 56-57

Campers review skills learned this week and complete the weekly assessment. Please refer to p.10A and p. 10-11 of the Teacher’s Manual for lesson directions. Warm up: “Concept Building” Engage and Reflect: “Skill Building” “Using Student Pages” – Guide campers through these pages observing areas in need of clarification and/or re-teaching. Assess: “Formal Assessment” – campers should complete the Weekly Assessment independently.

th Grade Math Lesson Plans Week 1, Day 1 - Pittsburgh · PDF file · 2013-06-177th...

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Transcript of th Grade Math Lesson Plans Week 1, Day 1 - Pittsburgh · PDF file · 2013-06-177th...