West Contra Costa Unified School District
Simplify Expressions and Solve Equations Using Two-Column Proofs
Increase understanding of the algebraic properties and their importance. Scholars justify their steps as they simplify expressions and solve equations. They formalize their work as two-column proof.
Curated OER
Residential Power System
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
Pearson
Performance Based Assessment Practice Test (Algebra II)
A full-length practice test like this one, especially one that includes a number of open response questions, is a phenomenal tool in a class as rigorous as algebra 2. Here the learners can really get that hands-on experience wrestling...
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
EngageNY
Probability Rules (part 1)
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...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
EngageNY
Graphing the Sine and Cosine Functions
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
EngageNY
Chance Experiments, Sample Spaces, and Events
Want a leg up on the competition? Show classes how to use mathematics to their advantage when playing games. Learners calculate probabilities to determine a reasonable scoring strategy for a game.
EngageNY
Calculating Probabilities of Events Using Two-Way Tables
Tables are useful for more than just eating. Learners use tables to organize data and calculate probabilities and conditional probabilities.
EngageNY
Ruling Out Chance (part 2)
Help your classes find the significance in this instructional activity! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence.
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Curated OER
The Da Vinci Code: Math Fun
A wonderful way to introduce or practice simple algebraic equations, where a variable is used in place of a number. Learners will work to crack the Da Vinci Code (as it is called) and replace letter variables with the "code" numbers to...
Math-U-See
Algebra 1 Readiness Test
Your learners will appreciate this assessment of basic skill calculations that are prerequisite to Algebra1. Adding, subtracting, multiplying, and dividing procedures are addressed in conjunction with whole numbers, decimals, fractions,...
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
Curated OER
All The 4s Again
How fast can your learners go through their 4 times tables? Three columns of multiplication problems await your speedy learners, multiplying 4 by numbers 1 though 10. The times table for 4 is available at the top of the page for quick...
Curated OER
Equivalent Expressions A.11
Work those algebra skills! Learners solve equivalent expressions, compare given expressions, and determine their equivalency. This three-page instructional activity contains twelve multi-step problems. Psst, this would be a perfect unit...
Houghton Mifflin Harcourt
Write and Evaluate Algebraic Expressions
Once your math class is adept at writing expressions, challenge them with a few word problems! There are six real-world scenarios for which learners must come up with a representative variable expression. Take CCSS.Math.Content.6.EE.2.a...
Curated OER
Law of Exponents
Using the workspace provided, learners solve five equations that utilize the law of exponents. Answers are provided.
Curated OER
Number Sequences
Number sequences make for great challenges that stimulate pattern recognition, algebraic reasoning, and number sense. This slide-show includes eleven number sequences for learners to work through, an explanation of what number sequences...
Curated OER
Repeating Patterns
Pattern recognition is a very important skill to foster in younger children. It helps boost algebraic reasoning, logical reasoning, and mathematical reasoning skills. Here are 11 different shape patterns for learners to complete. They...