EngageNY
Two-Step Problems—All Operations
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,...
Concord Consortium
Boards IV
Build a connection between algebraic sequences and spreadsheets. Learners examine a specific folding pattern and convert the pattern into a spreadsheet. The goal of the spreadsheet is to produce a sequence of a specific pattern modeled...
Concord Consortium
Swimming Pool II
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...
Flipped Math
Unit 5 Review: Systems of Equations
Activate transformers along with algebra systems. Pupils use 10 problems to review transformations of functions to solve a variety of systems of equations. Individuals identify the types of transformations from an equation along with...
Flipped Math
Measuring Angles
An informative presentation shows pupils how to name and measure angles. Scholars revisit the different types of angles and their definitions and use their knowledge of what an angle bisector is to solve algebraic problems. At the end,...
Flipped Math
Unit 2 Review: Reasoning and Proofs
The proof is in the review. Individuals watch a short review of the content from the unit to prepare for the unit exam. The review covers inductive reasoning, conditional and related statements, and two-column algebraic and geometric...
Flipped Math
Unit 3 Review: Parallell and Perpendicular Lines
Learners watch a quick review on the Parallel and Perpendicular Lines unit. The pupils work through ten review problems ranging from identifying types of angles formed by parallel lines and transversals to writing equations of parallel...
Flipped Math
Rotations
Turn the class around. Scholars define rotations of multiples of 90 degrees and create algebraic mappings for them. After an introduction to symmetry, pupils determine which letters of the alphabet have rotational and reflectional...
Curated OER
Color at Light Speed
Rainbow science anyone? learners put the color specturm, frequency, light waves, and wavelengths into a light speed context. They use algebraic formulas to determine the speed of each light wave length. A great way to connect math and...
Curated OER
Factors
Factoring numbers helps prepare scholars for fractions and algebra, so build confidence by drilling this skill and promoting reflection in the process. Scholars start by listing factors for 18 numbers, none of which exceed 30. Next, they...
Curated OER
Factors of Numbers from 1 to 30
Finding factors is an integral skill on the road to fractions and algebra. Scholars write down a factor list for nine numbers up to 30. Next, they examine provided lists and circle the numbers that are factors of eight more numbers, also...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
Illustrative Mathematics
Kimi and Jordan
Kimi and Jordan have taken summer jobs to supplement their weekly allowances. Kimi earns more per hour than Jordan, but Jordan's weekly allowance is greater. This activity asks students to determine how the incomes of the two workers...
Illustrative Mathematics
Box of Clay
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Illustrative Mathematics
Busy Day
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Illustrative Mathematics
Equations and Formulas
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps young scholars become intuitive about graphing.
Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Illustrative Mathematics
Ice Cream
Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to...
Illustrative Mathematics
Radius of a Cylinder
Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the...
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