Lesson Plan
EngageNY

Representing, Naming, and Evaluating Functions (Part 1)

For Teachers 9th - 10th Standards
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 
Lesson Plan
Curated OER

Algebra Tic-Tac-Times

For Teachers 9th - 11th
Use the strategy of working backwards to practice factoring polynomials and multiplying binomials in a game format. Play, and work to find which products combined with the available factors will result in the placement of four tokens in...
Lesson Plan
EngageNY

Analyzing Residuals (Part 1)

For Teachers 9th - 10th Standards
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 1)

For Students 10th - 12th Standards
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
Lesson Plan
EngageNY

Modeling a Context from Data (part 1)

For Teachers 9th - 10th Standards
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision. 
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Mean (part 1)

For Students 10th - 12th Standards
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
Lesson Plan
EngageNY

Probability Rules (part 1)

For Students 10th - 12th Standards
In statistics, probability rules—literally! Learners use their previous knowledge and explore a set of rules for conditional probability, independent probability, and complements. Given different scenarios, they must determine what type...
Lesson Plan
EngageNY

Drawing a Conclusion from an Experiment (part 1)

For Students 10th - 12th Standards
Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians! 
Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 1)

For Students 9th - 10th Standards
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
Lesson Plan
Virginia Department of Education

Arithmetic and Geometric Sequences

For Teachers 7th
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.
Lesson Plan
EngageNY

Writing Division Expressions

For Teachers 6th Standards
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th activity of a 36-part series. They consider both numerical and algebraic expressions...
Lesson Plan
Virginia Department of Education

Properties of Operations

For Students 8th Standards
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
Workbook
Curated OER

Word Problem Practice Workbook

For Students 6th - 8th Standards
Need worksheets that challenge your middle schoolers to apply their understanding of math? Problem solved! From integers, fractions, and percents, to algebra, geometry, and probability, over 100 pages of word problem worksheets...
Worksheet
1
1
Salt Lake City School District

Two-Step Word Problems

For Students 7th - 9th Standards
Learners model a real-life scenario by writing a two-step algebra equation and solving it, as they complete this worksheet. Ten practice word problems on one piece of paper are nicely prepared just for your young algebra learners.
Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
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.
Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers II

For Teachers 6th Standards
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
Lesson Plan
Virginia Department of Education

Solving and Graphing Inequalities

For Students 8th Standards
You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...
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...
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 lesson focuses on expressions related to geometry, such as...
Worksheet
Norm Mitchell

Reteaching Page 2.1 Variables and Expressions

For Students 6th - 8th Standards
The vocabulary for working with variable is expressions is listed at the top of this handout. Prealgebra pros evaluate four expressions when a value is assigned to the variables. Then an explanation is given about how changing the value...
Worksheet
Math Games 4 Children

Algebra: Evaluate Each Expression

For Students 6th - 8th Standards
If you are looking to give your math class extensive practice with evaluating expressions, look no further. Here are 70 expressions for which they must substitute an assigned value to evaluate. Keep this handy to assign as part of your...
Lesson Plan
EngageNY

Linear and Nonlinear Expressions in x

For Teachers 8th Standards
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
Lesson Plan
EngageNY

Factoring Expressions

For Teachers 6th Standards
Factor in an informative resource when teaching about factoring. The 11th lesson in a 36-part module shows pupils how to factor algebraic expressions by applying the distributive property. Some of the problems involve expressions with...

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