UNIT 5: Lesson 20: Adding Fractions (1 week / 5 days ...jpschools.org/wp-content/uploads/2017/12/LanguageMathPart2-3-9W.… · UNIT 5: Lesson 20: Adding Fractions (1 week / 5 days)

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Updated 12/13/2017 11:20 AM 1

UNIT 5: Lesson 20: Adding Fractions (1 week / 5 days) pages 119 - 125

1. Overview

The students should develop and analyze algorithms for computing with fractions and develop fluency in their use.

STANDARDS CONTENT

Add fractions

Add mixed numbers

Recognize multiple meanings of like and check

Compare and contrast adding fractions and mixed numbers

LOUISIANA

STUDENT STANDARDS

CONNECTORS FOR ENGLISH

LEARNERS

ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing

ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions.

ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably

MATHEMATICS

STANDARDS

6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations.


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2. Resources

T E A C H I N G R E S O U R C E S

Access

Math Teacher’s edition

Math Assessment Book

A D D I T I O N A L S U P P O R T I N G R E S O U R C E S

Lexia Core 5

Rosetta Stone

Bilingual dictionary

Brain Pop ESL https://esl.brainpop.com/

Brain Pop https://www.brainpop.com/

http://www.coolmath.com/prealgebra

http://www.mathworksheets4kids.com/algebra.php

https://esl.brainpop.com/

https://www.brainpop.com/




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3. Activities for Understanding

SUGGESTIONS

The students will observe as the teacher draws on the board, mixed-number addition models. Students will volunteer identifying the numbers being added and tell how to get the sum. (sample: Add the whole-number parts and the fraction parts separately and then combine the two sums.)

Students will work in pairs to find how much brown sugar is needed for three recipes of Mandarin spareribs on page 121 student book. Have them write the numbers vertically and talk about how to find the sum (7½)


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UNIT 5: Lesson 21: Subtracting Fractions (1 week / 5 days) pages 124 - 128

1. Overview


STANDARDS CONTENT

Subtract fractions

Subtract mixed numbers

Demonstrate how to subtract fractions

LOUISIANA

STUDENT STANDARDS


LEARNERS




MATHEMATICS

STANDARDS

6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents. .

7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work

with the four basic operations.


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2. Resources


Access




Lexia Core 5

Rosetta Stone











Updated 12/13/2017 11:20 AM 6



SUGGESTIONS

The students will be divided in small groups and each group will write an addition sentence that has two different fractions as addends. Encourage them to use math vocabulary to explain how they found the sum. Then have students write a related addition sentence and two related subtraction sentences using the same numbers. Have them explain how they know their sentences are correct.

Have pairs of students each choose a mixed numbers with fraction denominator 12 or less. Have them find the difference and write each step of the process.


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UNIT 5: Lesson 22: Multiplying and Dividing (1 week / 5 days) pages 129 - 135

1. Overview


STANDARDS CONTENT

Multiply with fractions and mixed numbers

Divide with fractions and mixed numbers

Clarify how to divide by a fraction

LOUISIANA

STUDENT STANDARDS


LEARNERS




MATHEMATICS

STANDARDS

6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents. .





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2. Resources


Access




Lexia Core 5

Rosetta Stone











Updated 12/13/2017 11:20 AM 9



SUGGESTIONS The students will get several whole-number/fraction products to find. They can use the repeated-addition

concept with an inch ruler or a number line. Have them talk about how the blue and red model on page 130 student book shows ¼ of 2/5.

The students will be in pairs and will read the examples on page 130 student book. Then they will draw models for ¾ x 2/3 and 2 x 3½. Have pairs talk about how their models show the multiplication. Then have them perform the multiplication without the models (1/2, 7).


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UNIT 6: Lesson 23: Ratios and Proportions (1 week / 5 days) pages 136 - 140

1. Overview

The students will use ratios and proportions to represent quantitative relationships; develop; analyze, and explain methods for solving problems involving

proportions, such as finding equivalent ratios.

STANDARDS CONTENT

Use ratios to compare quantities

Write and solve proportions

Recognize multiple meanings of term

Evaluate real-world situations by comparing ratios

LOUISIANA

STUDENT STANDARDS


LEARNERS




MATHEMATICS

STANDARDS

6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quatities.


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2. Resources


Access




Lexia Core 5

Rosetta Stone











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SUGGESTIONS

The students will be grouped in pairs and will draw a row with 3 squares and a row with 2 circles. Have them write a ratio of squares to circles and use their own words to describe the relationship. (3:2; sample: For every 3 squares there are 2 circles.)

The students will be required to name items that can be described by the ratio, and to explain their reasoning (sample ¼; 1 car for every 4 tires.)

Students will work in pairs writing proportions in a piece of paper, exchange papers, and label the parts using term, ratio, proportion, and cross products. Have them check each other’s work.


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UNIT 6: Lesson 24: Understanding Percent (1 week / 5 days) pages 141 - 145

1. Overview

The students will work flexibly with fractions, decimals, and percent to solve problems.

STANDARDS CONTENT

Write percent

Relate fractions, decimals, and percent

Predict future events based on current percent

LOUISIANA

STUDENT STANDARDS


LEARNERS




MATHEMATICS STANDARDS

6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.


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2. Resources


Access

Math Teacher’s edition Math Assessment Book


Lexia Core 5

Rosetta Stone











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SUGGESTIONS

The students will be grouped in pairs and cut out newspapers articles and advertisements that use fraction, decimals, or percent. Have them sort by examples by type and see if there any patterns in how each form is used to explain data. For example, articles on the sports pages use decimals and percent more than often than fractions.

The students will get a 10-by-10 grid to show 3/10. Have them tell how to write a percent for the shaded portion (3/10 = 30/100 = 30%)

The students will read the examples on page 143 student book, find the fractions equivalent to 60%, 75%, and 62.5% (3/5, ¾. 5/8)


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UNIT 6: Lesson 25: Percent of a Number (1 week / 5 days) pages 146 - 150

1. Overview

The students will develop meaning for percent greater than 100 and less than 1; work flexibly with fractions, decimals, and percent to solve problems.

STANDARDS CONTENT

Find the percent of a number

Explore percent less than 1% and greater than 100%

Recognize the meaning of the idiom give 110%

Persuade someone that a given suggestion is the best.

LOUISIANA

STUDENT STANDARDS


LEARNERS




MATHEMATICS

STANDARDS



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2. Resources


Access




Lexia Core 5

Rosetta Stone











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SUGGESTIONS The students will use each way described on page 147 student book to find 75% of 40 (30). Have pairs of

students talk about which method they prefer and why.

The students will be divided in small groups and form two teams. One team states a ratio, such as 3 out of 1,000, and the second team writes the ratio as a fraction and as a percent. If correct, the second team scores 1 point. The teams take turns until one team reaches the goal of 10 points.

The students will be put in groups of three and told: James wants to collect 5,000 aluminum cans for his recycling project. He has 20. Have students explain to each other how to find the fraction, decimal, and percent that represent the cans James has collected.


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UNIT 6: Lesson 26: Applications of Percent (1 week / 5 days) pages 151 - 155

1. Overview


STANDARDS CONTENT

Solve problems involving discounts and sales tax

Solve problems involving simple interest

Recognize the meanings of principal and principle

Summarize information about ratios by giving examples

LOUISIANA

STUDENT STANDARDS


LEARNERS






HSN-REI.B.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.


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2. Resources


Access




Lexia Core 5

Rosetta Stone











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SUGGESTIONS

Students will be placed in small groups and each group will list the five ways to use percent given in the Web. Have them discuss situations in which they would want the percent in each example to be a greater number and in which they would want it to be a lesser number. (Answer will vary, but generally when paying money or offering a discount, you would like the least percent. When receiving money or buying a discounted item, you would like the greatest percent.)

Students will work in pairs and find the final cost of a $25 vase that has a 20% discount and a 5% sales-tax rate ($21). Have them label their work with the terms original price, discount, sale price, sales tax, and final cost.

The students will talk about how finding simple interest and sales tax are alike and different. (Alike: Both multiply percent and money. Different: Interest includes time in the calculation.)


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UNIT 8: Lesson 31: Lines and Angles (1 week / 5 days) pages 180 - 184

1. Overview


STANDARDS CONTENT

Identify points, lines, planes, rays, segments, and pairs of lines

Identify, measure, and draw angles

Recognize verb phrases

Classify triangles

LOUISIANA

STUDENT STANDARDS


LEARNERS





7.G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.


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2. Resources


Access




Lexia Core 5

Rosetta Stone











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SUGGESTIONS

Students will use newspapers and magazines. Have them cut out pictures that show uses of points, lines, and planes. Then have them create a collage of the pictures, labeling the points, lines, and planes and telling how they are used in some of the pictures.

Students will discuss in small groups types of angles, refer students to the photo at the top of page 182 (textbook). Ask them to name or describe an acute angle (<ACB or <ACD) and an obtuse angle (<BCD).

Students will be divided in pairs. Each pair will discuss types of angles, refer students to the classroom clock.

Have them write times for which the clock hands form acute angles, obtuse angles, right angles, and straight angles. When possible, students should give several examples of each.


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UNIT 8: Lesson 32: Angles and Triangles (1 week / 5 days) pages 185 - 189

1. Overview

Students should identify, compare, and analyze attributes of two-dimensional shapes and develop vocabulary to describe the attributes.

____________________________________________________________________________________________________________________________

STANDARDS CONTENT

Identify angle pairs as complementary, supplementary, or vertical

Classify triangles by angles or sides

Recognize multiple meanings of acute, right, and obtuse

Describe figures by providing details

LOUISIANA

STUDENT STANDARDS


LEARNERS




___________________________________________________________________________________________________________

MATHEMATICS

STANDARDS

7. G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.




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2. Resources


Access




Lexia Core 5

Rosetta Stone











Updated 12/13/2017 11:20 AM 27



SUGGESTIONS Students will work in pairs to demonstrate what they know about the three types of angle pairs. Have them

draw examples and explain them to others in their group.

The students will be divided in small groups, provide each group with straws cut into 1-, 2-, 3-, 4-, and 5-in. lengths, three of each length, and short pieces of pipe cleaner. Have them make a triangle of each type on page 187 (textbook). Ask, Are there any three straws that will not make a triangle? (2- ,3-, 5-in. straws; two sides together have to measure more than the third in order to form an angle.)

The students will receive copies of all six types of triangles shown in page 187 (textbook). Students will work

with a partner. Have partners study the diagrams. Ask, Can you see any relationship between the largest angle and longest side of a triangle? They should see that sides opposite largest angles are longest, sides opposite smallest angles are shortest, and sides opposite congruent angles are congruent.

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UNIT 5: Lesson 20: Adding Fractions (1 week / 5 days ...jpschools.org/wp-content/uploads/2017/12/LanguageMathPart2-3-9W.… · UNIT 5: Lesson 20: Adding Fractions (1 week / 5 days)