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MTE280 by Mind Map: MTE280

1. Week 1 - Intro

1.1. One to one correspondence: when one item it counted for one item.

1.2. Cardinality: When students don't need to count if given a pile of things.

1.3. Subitizing: To identify the number of things in a set by quickly looking at them.

1.4. More or less

1.5. Number recognition

1.6. Counting

1.7. Ploya (4-steps) UnDevCarLo

1.7.1. 1. (Un) Understand the problem

1.7.2. 2. (Dev) Develop a plan

1.7.3. 3. (Car) Put in to action

1.7.4. 4. (Lo) Look back - Does my answer make sense?

2. Week 4 - Subtraction

2.1. Subtraction

2.1.1. When showing subtraction, show the blocks off the "mat" and display the things you aretaking away on the side. Then take the blocks off the mat and from the side at the same time. On -> What they have (first #) Off -> What you are subtracting

2.2. Expanded Form

2.2.1. Expanded Form SUB.jpg

2.3. Equal Addends

2.3.1. Equal Addends.jpg

2.3.2. Equal Addends (2).jpg

3. Week 5 - Multiplication

3.1. Multiplication intro

3.1.1. Mult.jpg

3.2. 3X5: 3 groups of 5 items

3.3. Array: individual dots of points, always going to make a rectangle. Length of rectangle

4. Week 6 - Multiplication (Cont.)

4.1. Algorithms (Mult)

4.1.1. Expanded Form (Mult)

4.1.1.1. Expanded Form MULT.jpg

4.1.2. Left to Right (Mult)

4.1.2.1. Left to Right MULT.jpg

4.1.3. Area Model

4.1.3.1. Area Model.jpg

4.1.4. Lattice (Mult)

4.1.4.1. Lattice MULT.jpg

5. Week 2 - Base 10

5.1. Base 10 blocks

5.1.1. Base10.jpg

5.2. Biz-Buzz Game

5.3. Convert from base ten to different bases

5.3.1. Convert to base 10.jpg

6. Week 3 - Addition

6.1. Alternative Algorithms: Addition

6.1.1. Expanded Form

6.1.1.1. Expanded Form.jpg

6.1.2. Left to Right

6.1.2.1. Left to Right.jpg

6.1.3. Friendly Numbers

6.1.3.1. Friendly Numbers.jpg

6.1.4. Scratch

6.1.4.1. Scratch Meathod.jpg

6.1.5. Lattice

6.1.5.1. Lattice.jpg

6.2. What makes the best algorithms?

6.2.1. 1. If it will work, no matter how hard the problem gets

6.2.2. 2. Efficient

6.2.3. 3. Based in solid mathematical principles (when place value matches (3 VS 300 as a carried number)

7. Week 7 - Division

7.1. Division: Equal amount of groups. The remainder is the numerator, the divisor is the denominator.

7.1.1. Division.jpg

7.2. Repeated Subtraction

7.2.1. Repeated Sub.jpg

7.3. Upwards Division

7.3.1. Upwards Division.jpg

8. Week 8 - Fractions

8.1. Top: Number of pieces Bottom: Size of pieces

8.2. In 4/1 the 4 tells us the number of things, every whole number is a fraction

8.3. Fractions are the first time students will have to understand the smaller number is the bigger number when it comes to the denominator

8.4. Which is bigger?

8.4.1. Bigger.jpg

8.5. Why do we need to find common denominator when we add and subtract but not when we multiply?

8.5.1. Common (1).jpg

9. Week 9 - Multiply and Dividing Fractions

9.1. Set: out of set of models, something is different

9.2. Multiplying Fractions (funky ones)

9.2.1. Mult Fractions.jpg

9.3. Dividing Fractions (KCF)

9.3.1. Dividing Fractions.jpg

9.4. Adding Fractions

9.4.1. Adding Fractions.jpg

10. Week 10 - Solving Decimals

10.1. Solving add/sub/mult Decimals

10.1.1. Line up the decimals (students may find this difficult because some students are unsure whether the decimal is before or after the whole number)

10.1.1.1. Adding Decimals.jpg

10.2. Show adding Fractions

10.2.1. Show Add Fractions.jpg

10.3. Show subtracting Fractions

10.3.1. Show Sub Fractions.jpg

10.4. Show multiplying Fractions

10.4.1. Show Mult Fractions.jpg

11. Week 11 - 2 Color Counters

11.1. When doing integers, the red side is negative and the other colored side is positive

11.2. Color Counters.jpg

11.3. Zero pairs: a colored tile and a red tile canceling out using pairs

11.4. Zero bank: bunch of zero pairs, physical way of showing negative numbers. Only do zero banks if you have enough of a take away

12. Week 12 - Divisibility Rules

12.1. Divisability Rules.jpg

13. Week 13 - Adding and Subtracting Integers

13.1. Always stack positive and negative signs when showing

13.2. Zero banks!

13.3. IMG-6774.jpg

13.4. IMG-6775.jpg

14. Week 14 - Scientific Notation and Multiplying Integers

14.1. When multiplying: SAME signs = Addition DIFFERENT signs = Negative

14.2. IMG-6776.jpg

15. Week 15 - Order of Operations

15.1. GEMDAS

15.1.1. Group

15.1.2. Exponents

15.1.3. Multiplication/Division

15.1.4. Addition/Subtraction

15.2. Start at Multiplication/Division and go left to right

15.3. IMG-6777.jpg