EngageNY
Converse of the Pythagorean Theorem
Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...
Curated OER
Systems of Equations and Inequalities
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
EngageNY
Using Permutations and Combinations to Compute Probabilities
Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...
Curated OER
Twenty Questions: The Hundred Chart
Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....
Mathematics Assessment Project
Modeling: Making Matchsticks
Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...
Willow Tree
Percents
We see percents everywhere! Building a solid understanding of their meaning is important to future mathematics, but also as citizens. Young scholars practice rewriting decimals, percents, and fractions. They also determine percents of a...
Curriculum Corner
Guest Teacher Plans: Grade 6
Taking a day off of school can feel like a lot more work than going because of the time and effort that goes into making sub plans. Make your life easier with a daily plan for a guest teacher designed to meet the needs of sixth...
Project Maths
Inequalities
Which number is bigger? Using a variety of activity sheets, this unit starts with the basics of inequalities and progresses through solving compound linear inequalities. Problems cover the range of inequalities including inequality word...
Curated OER
Application of Linear Systems
Let the learners take the driving wheel! The class solves systems of linear equations and applies the concepts of systems to solve a real-world situation about parking cars and buses. They then use calculators to create a visual of their...
Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
Project Maths
Introduction to Trigonometry
The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...
Mathematics Assessment Project
Sorting Equations and Identities
Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.
Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous activity in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the equation of a...
EngageNY
Efficacy of Scientific Notation
How many times could California fit into the entire United States? Pupils use scientific notation to find the answer to that question in the 12th installment of 15 lessons. It asks scholars to write numbers in scientific notation and...
EngageNY
Newton’s Law of Cooling, Revisited
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
EngageNY
Representing Proportional Relationships with Equations
Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...
Curated OER
Rolling Marbles
Students develop and use problem solving strategies to mathematically solve a word problem involving marbles. They solve the first part of the problem together as a class, and in small groups solve and write a solution for the problem...
Curated OER
Applications and Problem Solving Using Quadratic Equations
In this math worksheet, students solve problems in the form of quadratic equations after translating into expressions from words.
Curated OER
Moving-Math Hopscotch
Young scholars engage in a hopscotch game where each square represents a number. In this mental math and movement lesson, students take turns playing traditional hopscotch, but add a mental math component where they add or subtract...
Curated OER
Problem Solving
Students use hockey sticks to pick up bean bags and put them into hoops which they get money for in the end. In this movement and math lesson plan, students get fake money and add up how much they earned in the end based on how many...
Curated OER
Math: Reasoning and Problem Solving using Voyages
Students plan a voyage as the captain of a tall ship in the early days of exploration and merchant trading. They choose 2 ships and 3 voyages for a total of 6 possibilities. They calculate the number of days and distance of their...
Curated OER
Right on Time
The hour is nigh for your class to practice equivalency problems in the form of time-zone conversions. They write equations to describe elapsed time and apply problem solving strategies, including writing a plan, to solve the problems.
Curated OER
What Is It?
You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...
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