Lesson Plan
EngageNY

Solving a Linear Equation

For Teachers 8th Standards
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson plan presents linear equations that scholars...
Lesson Plan
EngageNY

Writing and Solving Linear Equations

For Teachers 8th Standards
Incorporate geometry into the solving linear equations lesson. Pupils use their knowledge of geometry to write linear equations which reinforces geometry measurement concepts while at the same time providing a familiar context for...
Lesson Plan
EngageNY

Introduction to Simultaneous Equations

For Teachers 8th Standards
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Lesson Plan
EngageNY

Solutions of a Linear Equation

For Teachers 8th Standards
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
Lesson Plan
EngageNY

Problem Solving and the Coordinate Plane

For Students 6th Standards
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter...
Lesson Plan
EngageNY

Problem Solving When the Percent Changes

For Teachers 7th Standards
Use more than one whole to solve percent problems. The ninth installment in a 20-part series has pupils work percent problems in which they must determine two wholes. Individuals use double number lines to represent and solve the...
Lesson Plan
EngageNY

Another Computational Model of Solving a Linear System

For Teachers 8th Standards
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios II

For Teachers 6th Standards
Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions. 
Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios

For Teachers 6th Standards
Combine total quantities and equivalent ratios in problem solving. The fifth lesson in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
Lesson Plan
EngageNY

Solving Area Problems Using Scale Drawings

For Teachers 7th Standards
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
Lesson Plan
EngageNY

Problem Solving Using Rates, Unit Rates, and Conversions

For Teachers 6th Standards
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 1)

For Students 9th - 10th Standards
What do your young geniuses really know? Assess the procedural knowledge of your pupils at the same time as their higher-level thinking with an assessment that identifies their depth of knowledge. Topics include solving...
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,...
Lesson Plan
EngageNY

One-Step Equations—Multiplication and Division

For Teachers 6th Standards
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
Lesson Plan
EngageNY

Mixture Problems

For Teachers 7th Standards
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...
Lesson Plan
EngageNY

Multi-Step Problems—All Operations

For Teachers 6th Standards
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
Lesson Plan
EngageNY

Solving Percent Problems II

For Teachers 6th Standards
Fill in the blanks to find the best discount! Groups complete a table of amounts and percents associated with sale items. Classmates then find the original cost, sale cost, discount amount, paid percent, or the discount percent...
Lesson Plan
EngageNY

Solving Percent Problems

For Teachers 6th Standards
Don't discount how much your pupils understand percents! The 27th lesson in a series of 29 presents a problem to find the cost of a discounted outfit. Small groups determine either the original price or the discount received given the...
AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 7 Mathematics Module 3

For Students 7th Standards
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 4

For Students 8th Standards
Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 1)

For Students 10th - 12th Standards
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. 
Lesson Plan
EngageNY

One-Step Equations—Addition and Subtraction

For Teachers 6th Standards
Just one step is all you need to find success in solving equations. The 27th installment in a series of 36 teaches how to solve one-step equations involving addition and subtraction. Tape diagrams help future mathematicians in this task.
Assessment
EngageNY

End-of-Module Assessment Task: Grade 6 Math Module 4

For Students 6th Standards
Finish out the module with a bang. The last installment of a 36-part module is an end-of-module assessment task. Test takers set up equations to represent relationships and solve problems in an assortment of contexts.