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

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

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...
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

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

Writing and Solving Linear Equations

For Teachers 8th Standards
Incorporate geometry into the solving linear equations instructional activity. Pupils use their knowledge of geometry to write linear equations which reinforces geometry measurement concepts while at the same time providing a...
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 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 presents linear equations that scholars must...
Assessment
Illustrative Mathematics

What is 23 ÷ 5?

For Students 5th Standards
Twenty-three divided by five can have a different value depending on the unit of measurement being asked. Learners problem solve 23 divided by 5 in a series of five word problems.
Lesson Plan
EngageNY

Markup and Markdown Problems

For Teachers 7th Standards
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
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...
Lesson Plan
EngageNY

Word Problems

For Teachers 8th Standards
Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...
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

Population Problems

For Teachers 7th Standards
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...
Lesson Plan
EngageNY

One-Step Problems in the Real World

For Teachers 6th Standards
Mirror, mirror on the wall, which is the fairest resource of them all? Individuals write and solve one-step equations for problems about angle measurement, including those involving mirrors. Both mathematical and real-world problems are...
Lesson Plan
EngageNY

Tax, Commissions, Fees, and Other Real-World Percent Problems

For Teachers 7th Standards
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
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

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

Counting Problems

For Teachers 7th Standards
Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...
Assessment
Illustrative Mathematics

How Many Days Until Summer Vacation?

For Students 2nd Standards
On the 124th day of school, young mathematicians are asked to find out how many days are left in the 180-day school year. The teacher version to the task offers several ways the problem can be solved, and can be used to guide...
Lesson Plan
EngageNY

Part of a Whole as a Percent

For Teachers 7th Standards
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
Assessment
Fluence Learning

Construct Viable Arguments About Adding Fractions

For Students 5th Standards
Test mathematicians' knowledge of adding fractions with a brief assessment that challenges them to play teacher while correcting a peer's work. Scholars examine Carl's mathematical response, identify where he went wrong,...
Assessment
Illustrative Mathematics

Three Composing/Decomposing Problems

For Students 2nd Standards
Practice composing and decomposing numbers in base-ten using three word problems. Each problem presents a different scenario requiring learners to explain their thinking, find the number of ones, and find out different ways to make a...
Lesson Plan
EngageNY

Problems in Mathematical Terms

For Teachers 6th Standards
Whether scholars understand independent and dependent variables depends on you. The 32nd installment of a 36-part series has learners analyze relationships in real-world problems through tables. They determine independent and dependent...

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