# Grade 4 Curriculum Mind Map

by Hannah Niemi
# 1. Numbers

## 1.1. Represent and describe whole numbers to 10 000, pictorially and symbolically

## 1.2. Compare and order numbers to 10 000

## 1.3. Understanding of addition of numbers to 10 000 and their corresponding subtractions (3 and 4 digit numerals) by:

### 1.3.1. using personal strategies for adding and subtracting

### 1.3.2. estimating sums and differences

### 1.3.3. solving problems involving addition and subtraction

## 1.4. Apply the properties of 0 and 1 for multiplication and the property of 1 for division

## 1.5. Describe and apply mental mathematics strategies, such as:

### 1.5.1. skip counting from a known fact

### 1.5.2. using doubling or halving & adding or subtracting one more group

### 1.5.3. using patterns in the 9s facts

### 1.5.4. using repeated doubling to determine basic multiplying facts to 9 × 9 and related division facts

## 1.6. Uunderstanding of multiplication (2- or 3-digit by 1-digit) to solve problems by:

### 1.6.1. using personal strategies for multiplication with/without concrete materials

### 1.6.2. using arrays to represent multiplication

### 1.6.3. connecting concrete representations to symbolic representations

### 1.6.4. estimating products

### 1.6.5. applying the distributive property

## 1.7. Understanding of division (1-digit divisor and 2-digit dividend) to solve problems by:

### 1.7.1. using personal strategies for dividing with and without concrete materials

### 1.7.2. estimating quotients

### 1.7.3. relating division to multiplication

## 1.8. Understanding of fractions less than or equal to one or use concrete, pictorial and symbolic representations to:

### 1.8.1. name and record fractions for the parts of a whole or a set

### 1.8.2. compare and order fractions

### 1.8.3. model and explain that for different wholes, two identical fractions may not represent the same quantity

### 1.8.4. provide examples of where fractions are used

## 1.9. Represent and describe decimals (tenths and hundredths), concretely, pictorially and symbolically

## 1.10. Relate decimals to fractions and fractions to decimals (to hundredths)

## 1.11. Uunderstanding of addition and subtraction of decimals (limited to hundredths) by:

### 1.11.1. using personal strategies to determine sums and differences

### 1.11.2. estimating sums and differences

### 1.11.3. using mental mathematics strategies to solve problems

# 2. Patterns and Relations

## 2.1. Identify/describe patterns in tables or charts

## 2.2. Convert different representations of a pattern(ex. table -> concrete material

## 2.3. Understand patterns and relationships to solve problems (using charts/tables)

## 2.4. Identify/explain mathematical relationships to solve problems (using charts/tables)

## 2.5. Show equations where a symbol is used to represent an unknown number

## 2.6. Solve one-step equations using a symbol to represent an unknown number

# 3. Shape and Space

## 3.1. Measurement

### 3.1.1. Describe and analyze position and motion of objects and shapes

### 3.1.2. Demonstrate an understanding of congruency, concretely and pictorially

### 3.1.3. Demonstrate an understanding of line symmetry by:

3.1.3.1. Identifying symmetrical 2D shapes

3.1.3.2. Creating symmetrical 2D shapes

3.1.3.3. drawing one or more lines of symmetry in a 2D shape

## 3.2. 2D and 3D objects

### 3.2.1. Describe characteristics of 3D objects and 2D shapes and analyze relationships among them

### 3.2.2. Describe and construct right rectangular and right triangular prisms

## 3.3. Transformations

### 3.3.1. Describe and analyze position and motion of objects and shapes

### 3.3.2. Demonstrate an understanding of congruency, concretely and pictorially

### 3.3.3. Demonstrate an understanding of line symmetry by:

3.3.3.1. Identifying symmetrical 2D shapes

3.3.3.2. creating symmetrical 2D shapes

3.3.3.3. Drawing one or more lines of symmetry in a 2D shape

# 4. Statistics and Probability (Data Analysis)

## 4.1. Collect, display and analyze data to solve problems

## 4.2. Demonstrate an understanding of many-to-one correspondence

## 4.3. Construct/interpret pictographs and bar graphs with many-to-one correspondence to draw conclusions