Inside Mathematics

In this lesson for eighth graders, students look at rate of change, interpret slope, and write an algebraic equation in slope intercept form, all while working on their real-life application skills. Watch the lesson here:

8th Grade Math - Representing Constant Rate of Change | Inside Mathematics Antoinette Villarin teaches middle school mathematics at Westborough Middle School in South San Francisco, California, and at the time of this 2016 recording had been teaching for 15 years.

In the problem Digging Dinosaurs, students use algebraic thinking to solve problems involving multiple answers, optimum solutions, variables, and functions. Learn more at the link. https://www.insidemathematics.org/inside-problem-solving/digging-dinosaurs

Through the Grapevine is an IPS problem where students practice their mathematical concepts of statistics, including measures of center and representations, while deepening their understanding of proportional reasoning, trends in data sets, and surveys. Find more here: https://www.insidemathematics.org/inside-problem-solving/through-the-grapevine

Incorporate teamwork in your classroom to encourage students to deepen their understanding of the connections between different representations of functions—graphs, t-charts, and equations using the lesson at the link.

7th & 8th Grade Math – Graphs, Equations, & Tables | Inside Mathematics This lesson is intended to deepen students' understanding of the connections between different representations of functions—graphs, t-charts, and equations. It requires students to work together, making mathematically valid arguments that tie together these varied forms. Too often, students see th...

Use deductive reasoning, counting principles/strategies, and a variety of mathematical representations such as tree diagrams, Venn diagrams, tables, charts, and matrices to solve this Party Time problem and help your students develop mathematical analysis skills. https://www.insidemathematics.org/inside-problem-solving/party-time

Convert repeating decimals to fractions and use algebraic reasoning in the Diminishing Return problem. Students use number operations, organized lists, and probability to solve this problem. More at the link. https://www.insidemathematics.org/inside-problem-solving/diminishing-return

This lesson aims to encourage students to compare different deals using cost analysis. Read below to learn more.

7th & 8th Grade Math - Comparing Linear Functions | Inside Mathematics In fall of 2008, Sally Keyes (math coach), Kamaljit Sangha (7/8 math teacher/department leader) and Cecilio Dimas (7/8 math teacher) developed our first lesson on cost-analysis. By the end of fall 2008, all eleven 7th grade classes, regular and accelerated, had been taught the DVD Plan lesson. The f...

Explore how students can use algebraic thinking to solve problems involving unknowns, equations, and simultaneous constraints in this Wheel Shop example. https://www.insidemathematics.org/inside-problem-solving/the-wheel-shop

Students can dive into the Game Show problem, where they will use mathematical concepts of game theory, probability, and expected value. Find the problem and its levels here: https://www.insidemathematics.org/inside-problem-solving/game-show

Michelle Mackinson makes extensive use of formative assessment data to help her in curriculum planning as she builds students’ understanding of unit fractions, how fractions get put together to create a whole, and what it means if the wholes of numbers are different sizes.

4th Grade Math - Understanding Fractions | Inside Mathematics As of 2015, Michelle Makinson had taught fourth grade for 11 years at Bagby Elementary School in San José, California. Her learning segment contains three days of instruction focused on building students’ understanding of unit fractions, how fractions get put together to create a whole, and what ...

In the problem Friends You Can Count On, students use mathematical concepts of probability and expected value. Here, students must make sense of the problem and persevere in solving it through a variety of different mathematical topics. https://www.insidemathematics.org/inside-problem-solving/friends-you-can-count-on

Watch Becca Sherman's lesson as she introduces the “Singapore Bar Model” to students who have never seen it before to better understand the ways that students are challenged and engaged by interpreting language. More at the link:

4th Grade Math - Number Operations: Multiplication & Division | Inside Mathematics In this lesson, Becca Sherman introduces the “Singapore Bar Model” to students who have never seen it in before. She uses the context of solving division story problems to introduce the model. The number talk connects the basic components of the Bar Model with students’ original thinking, thus...