# LESSONS DESIGNED BY OUR TEACHERS

## “Tsi mahnu uterna ot twan ot geifur hingts uto.”

### -Unknown Author

## Teaching without Telling—Getting the Kids to Figure It Out

Lessons designed and tested by teachers who have participated in our intensive programs for multiple years. The lessons identify questions and prompt the development of conceptual understanding which is the basis upon which to build the procedure or mathematical idea being taught.

## K-1st Grade (or students who need extra support)

__Using Toys to Build the Number Line:__

Educreations Link showing how to move students from counting concrete objects like toys to how to model that on the number line:

https://www.educreations.com/lesson/view/numberline-example/13318980/?s=Qii9BK&ref=appemail

__Using Toys to Build the Number Line__

__Take Five for the Movies:__

3 Lessons for Conceptualizing 'Addends' and 'Total'

__Kindergarten Lesson - Take Five__

## Fourth Grade

**Fractions Unit:**

5 lessons: Fraction Families, Equivalent Fraction Segments, Benchmark Fractions (1/2 and 1), Equivalent Fractions on the Number Line (whole numbers and fractional equivalents), Comparing and Ordering

Educreations Link for part of the Equivalent Fraction lesson

__https://www.educreations.com/lesson/view/lesson-2-equivalent-segments/9083951/?s=uaHbd7&ref=appemail__

## Sixth Grade

**Elevating Word Equations to Algebraic Equations**

Have you ever been frustrated teaching students how to write equations? Stop! Get students to discover the hidden meaning of equations through a process of developing a simple, English statement about the situation (word equation). Students learn mathematical strategies to write an Algebraic Equation from word problems. Students will start with writing a basic English statement (a word equation), come to understand each relationship of the equation, and use that to develop a complex algebraic equation understanding the contextual meaning of each expression. **View Lesson**

**Investigating Bungee Behavior with Rubber Bands and Washers**

If you are going to run a bungee jumping company, you better understand the elastic behavior of bungees! In this hands-on lesson, students will gather data to discover the proportional relationship between the distance stretched and the weight using rubber bands and washers. **View Lesson**

## Seventh Grade

__Percents Mini Unit:__

3 Lessons to develop conceptual understanding and ability to explain reasoning for finding percents of a quantities.

Lesson Plans: __Day 1__, __Day 2__, __Day 3__

Power Points: __Day 1__, __Day 2__, __Day 3__

Student Notes: __Day 1__, __Day 2__, __Day 3 __

**Gear Ratios:**

Looking for a way to add some fun to your ratios unit? This lesson is your answer! Students use gears to discover the inverse proportional relationship based on gear size, and then apply that knowledge to real-life engineering problems. Give your students the chance to discover their own solutions to engineering problems. **View Lesson**

## Eighth Grade

__Direct Variation and Proportionality:__

This lesson is aimed at Grade 8 students moving from proportional thinking into what graphs of proportions look like. The lesson uses the context of mixing juices to tap into students' previous expreriences so they can make sense of the graphs and the proportional relationships.

Lesson documents:

__CC Lesson Student Handout__

__CC Lesson Proportionality and Lines__

**Gear Ratios:**

Looking for a way to add some fun to your ratios unit? This lesson is your answer! Students use gears to discover the inverse proportional relationship based on gear size, and then apply that knowledge to real-life engineering problems. Give your students the chance to discover their own solutions to engineering problems. **View Lesson**