### GOOD SOURCES FOR MULTIPLE LESSONS

- Illustrative Mathematics

Website that includes shared lessons to illustrate teaching with Common Core math standards. Started by Dr. Bill McCallum, a Common Core author. - Robert Kaplinsky's Math Lessons

Some very cool real-world stuff here. Math lessons are sorted by grade. - OpenCurriculum Mathematics

Lessons, projects, activities, videos, worksheets & tests that are open-source (from Illustrative Mathematics, Engage NY, Khan Academy, and others). Quality varies widely, but ability to search by CC standards is VERY helpful. - Common Core Problem Based Curriculum Maps | Geoff Krall (emergent math)

Sequences of great CC online math lessons. - Math Teacher Resources from I Speak Math

Big list of math teaching resources, with pointers to lesson plans, problems, professional development... - Teacher Resources on Line (UK)

### RATIO AND PROPORTIONAL RELATIONSHIP LESSON

- Proportional Reasoning: Hamburger Nutrition

Graphite "App Flow" describing use of various apps to do free Mathalicious rates/ratios lesson.

### NUMBER SYSTEM LESSONS

- Fraction Division via Rectangles | Fawn Nguyen
- Drill Bit Fractions | Yummy Math

Drill bits are ordered by size, and the denominators of the fractions (up to sixteenths) are given. Find the numerators. - Long Division from Strip Model | Graham Fletcher

Really aimed at 4th/5th grade division, but can help make sense of standard algorithm. - Life on the Number Line - board game for real numbers | Cheesemonkeysf
- sqrt(2) is irrational: Tennenbaum’s proof | Division by Zero

Proof by contradiction; pretty pictures.

### EXPRESSIONS AND EQUATIONS (ALGEBRA) LESSONS

- Central Park: Making Sense of Variables

A Dan Meyer & Christopher Danielson lesson for early algebra. Students solve one problem, then variations, then move to variables for power and sense-making. - Charge! | Michael Fenton

Model the time it takes a cell phone to charge with a linear function... then find out there's a catch! - Scattergories Style Describing Graphs Game | Sarah Hagan (Math = Love)

Good practice at identifying features of graphs and describing them with correct terminology. Competitive group game in which teams win for having the highest number of correct and unique descriptions. - Linear Equation Card Sort | Nora Oswald

Match cards for y=mx+b, std form, slope-int, graph, table. Editable too!! At this time, card 2 is a bit confusing (needs fractional coefficient filled in, but it reads as "-x"). - Substitution with stars | cheesemonkeysf

"Training wheels" to help with substitution: write x (or y) on one side of a star and whatever it equals on the other.

### GEOMETRY LESSONS

- Stained Glass Circle/A/P/Modeling Problem | Illustrative Mathematics

Very cool and realistic scenario in which students need to choose a reasonable model and use knowledge of area (especially of circles), perimeter, and numerical calculations. In PPS, can be used in Math 6. - Rigid Transformations (Grade 8) | Fawn Nguyen

Ideas for student-created procedures for transformations (create, then do someone else's). - Box of Clay (Volume and Units) | Joe Schwartz, Exit 10A

Fantastic post about learning issues and teaching choices involved in a fifth grade lesson about volume and units. - 3 Act Volume | Tap Into Teen Minds + Lisa Bejarano

3-act task around predicting relationships between volumes of various 3-D prisms, pyramids, cones, etc. - Arguing about Shapes (Kate Nowak)

Great intro geometry lesson (could be used in 7th or 8th grade math also). Stresses finding patterns, sense-making, communication and critique of reasoning, math vocabulary... awesome. - Proofs of the Pythagorean Theorem | Mathematics Assessment Project (map.mathshell.org)
- Constructions Castles | Cheesemonkey

Creativity with high-school-level Geometry constructions. - The Secret of Flowchart Proofs #officesupplies | cheesemonkeysf

Flow-chart proofs with post-it notes.

### STATISTICS AND PROBABILITY LESSONS

- Census at School (US) | American Statistical Association

Census questions for classes to take, with answer statistics to be compared against other national & international groups. Requires part of a class period for online activities. - Scatterplots Idea: "Are We Movie Compatible?" | Cathy Yenca

Fantastic idea for introducing scatterplots and correlation: students rank 10 things in order (here, movies), then compare rankings via scatterplot. - Are you reflected in the new Congress? | The Guardian

Enter demographic info (sex, age, etc.) and find out how many members of Congress share it.

### LOGIC/PROOF LESSON

- "Words" Logic/Proof Handout | Justin Lanier (ichoosemath)

Use "rules" to change letter strings, then move to inventing your own rules. Not specifically geometry.

There are flowchart tutorials in creately blog that can be used to learn flowcharting with flowchart examples and templates.

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