EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
EngageNY
Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
EngageNY
Problems in Mathematical Terms
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...
EngageNY
Writing and Expanding Multiplication Expressions
Find out what's so standard about standard form. Scholars learn to write multiplication expressions with variables in the 10th lesson plan in a series of 36. They use different symbols for multiplication and translate between standard...
EngageNY
Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
EngageNY
From Equations to Inequalities
Sometimes, equality just doesn't happen. Scholars apply their knowledge of solving equations to identify values that satisfy inequalities in the 34th installment of a 36-part module. They test given sets of numbers to find those that are...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th instructional activity in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A instructional activity has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
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...
EngageNY
True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...
EngageNY
The Hunt for Better Notation
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...
EngageNY
True and False Number Sentences
True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th lesson in a module of 36.
Curated OER
Representation of Quadratic Functions
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.
Curated OER
Worksheet 14 - Rates
In this rate worksheet, students draw and label given situations, determine the rates and the relationship between them. This two-page worksheet contains 7 multi-step problems.
Curated OER
Worksheet #5: Mixture Word Problems
In this mixture word problem worksheet, students read story problems and determine what information is necessary to solve the mixture problem. They identify the correct solution, graph inequalities, and solve inequality equations. Nine...
Curated OER
Solving Applications: Systems of Two Equations
In this algebra worksheet, students solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.
Illustrative Mathematics
Computing Volume Progression 4
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry learners. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
Curated OER
M&M Exponential Activity
Students create a scatter plot of their experimental data. In this algebra instructional activity, students use M&M's to determine an algebraic model. They discuss results in class.
Curated OER
"If You Hopped Like a Frog" by David M. Schwartz
Students brainstorm several animal/personal scenarios, select one, and write out an explanation of the comparison. They apply the measurements/characteristics to themselves and use algebraic equations to demonstrate the comparison.
Curated OER
"How Many Snails?" by Robert Wells
Students represent algebraic patterns in various ways.
Curated OER
Solving Eqautions w/ Division & Multiplication: Practice A
Ninth graders explore the process of solving one-step equations. For this Algebra I lesson, 9th graders solve one-step equations involving multiplication and division. The lesson includes translation of verbal expressions to...
Curated OER
Real Number System
Ninth graders discuss the real number system and its' properties. In this algebra lesson, 9th graders discuss rational, irrational, closure, real numbers and the distributive property of algebra. They solve problems using these...
Curated OER
Factoring Trinomials
Students factor trinomials using algebra tiles and blocks. In this algebra lesson, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
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