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Lesson Plan
Illustrative Mathematics

Running to School, Variation 3

For Teachers 5th - 7th Standards
How far is it between school and home? Here is a relatable activity where the participant runs to school a certain fraction of the way. That distance is given in miles. It is up to your learners to determine the distance between home and...
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Lesson Plan
Illustrative Mathematics

Running to School, Variation 2

For Teachers 5th - 7th Standards
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
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Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 3

For Teachers 5th - 7th Standards
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
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Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 2

For Teachers 5th - 7th Standards
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
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Lesson Plan
Curated OER

Using Function Notation II

For Teachers 9th - 12th Standards
Learners write an example to show a function statement true and another to show it false in this short task that addresses some common student misconceptions. 
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Lesson Plan
Willow Tree

Percent of Change

For Teachers 7th - 10th Standards
Your car decreases in value from $20,000 to $17,000. What percent of the value have you lost? Pupils answer word problems by determining the percent of change. 
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Lesson Plan
Willow Tree

Solving Quadratic Equations

For Students 8th - 11th Standards
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
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Lesson Plan
West Contra Costa Unified School District

Solving Inequalities

For Teachers 7th - 9th
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
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Lesson Plan
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West Contra Costa Unified School District

Factoring Quadratic Expressions

For Teachers 8th - 10th Standards
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
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Lesson Plan
West Contra Costa Unified School District

Divisibility Rules Justified

For Teachers 6th - 8th
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in groups.
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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Lesson Plan
EngageNY

Counting Rules—The Fundamental Counting Principle and Permutations

For Teachers 11th - 12th Standards
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
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Lesson Plan
EngageNY

Linear Equations in Disguise

For Teachers 8th Standards
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
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Lesson Plan
02 x 02 Worksheets

Factoring

For Teachers 8th - 11th Standards
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
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Lesson Plan
Virginia Department of Education

Algebra Tiles and Solving Equations

For Teachers 6th - 9th Standards
Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.
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Lesson Plan
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Teach Engineering

Bone Density Math and Logarithm Introduction

For Students 9th - 12th Standards
What do logarithms have to do with bone density? Scholars learn that the equation for bone density includes logarithms. The majority of the third lesson plan of seven is devoted to logarithms and their properties.
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Lesson Plan
EngageNY

Interpreting and Computing Division of a Fraction by a Fraction—More Models II

For Teachers 6th Standards
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
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Lesson Plan
EngageNY

The Relationship Between Visual Fraction Models and Equations

For Teachers 6th Standards
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
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Lesson Plan
EngageNY

The Order of Operations

For Teachers 6th Standards
Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value. 
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Lesson Plan
EngageNY

Replacing Letters with Numbers

For Teachers 6th Standards
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The activity focuses on expressions related to geometry, such as...
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Lesson Plan
EngageNY

The Relationship of Addition and Subtraction

For Teachers 6th Standards
Add an outstanding resource to your repertoire. The first installment of a 36-part module looks at the relationship between addition and subtraction through an activity using tape diagrams. Pupils develop the identities w – x + x = w and...
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Lesson Plan
EngageNY

Two-Step Problems—All Operations

For Teachers 6th Standards
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
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Lesson Plan
EngageNY

Exponents

For Teachers 6th Standards
Powered up! Here's a great resource on exponents. Scholars build on their previous understanding of exponents to include all positive real number bases. Distinguishing between an and a^n is a major goal in the fifth lesson of a 36-part...
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Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers

For Teachers 6th Standards
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.

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