# ekStep Numeracy

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ekStep Numeracy

## 1. Geometry

### 1.1. Spatial relations vocabulary

1.1.1. Development of vocabulary - Same, different, Top, Bottom, On, Under, Inside, Outside, Above, big, small, Below, Near, Far, Before, After, thick, thin, light, heavy, empty, full, less, more, few,many

### 1.2. 2D Shapes/Patterns

1.2.1. Distinguish & draw lines (Straight, vertical, horizontal)

1.2.2. Recognize and identify colors

1.2.3. Compare shapes: big/more, large/small, same/different, few/many, one to one correspondance

1.2.4. Arrange/order in shapes

1.2.5. Identify, classify, draw different Angles : acute, obtuse, and right angles; Understand by folding paper

1.2.6. Observe, Identify, Draw 2D shapes

1.2.7. Explores intuitively rotations and reflections of familiar 2-D shapes.

1.2.8. Properties of 2D shapes: understand triangle is 3 sides etc.

1.2.9. Understand concept of area and perimeter

### 1.3. 3D Objects

1.3.1. Recognize and identify colors

1.3.2. Observe, Identify, Draw 3D shapes

1.3.3. Arrange/order in objects

1.3.4. Spatial understanding: volume - understand and compare objects, liquids in container

1.3.5. Understand and compare weight of objects

1.3.6. 3D to 2D objects

1.3.7. Properties of 3D shapes

## 2. Number concepts/ Number sense

### 2.1. Counting

2.1.1. Sense of quantitites, count objects

2.1.2. Map quantities to numbers

2.1.3. Estimation of quantities without counting

2.1.4. Concepts of counting: stable order, one to one correspondance, cardinality, order irrelevance

### 2.2. Sequence

2.2.1. Order and compare numbers (Ascending & descending order,skip counting, whole-part relationship, additive reasoning etc.), mental number line

### 2.3. Place value

2.3.1. Understand tens and ones, higher digit place value, Expansion (expand a number with respect to place values)

## 3. Linear math

3.1.1. Understand symbols

3.1.2. Estimation of sum

3.1.3. Without grouping

3.1.4. Addition as inverse of subtraction

3.1.5. With grouping

3.1.6. Properties: commutative, associative

3.1.7. Mental maths; Single digit, multiples of 10

### 3.2. Subtraction

3.2.1. Understand symbols

3.2.2. Estimation of difference

3.2.3. Without grouping

3.2.4. Addition as inverse of subtraction

3.2.5. With grouping

3.2.6. Properties: commutative, associative

3.2.7. Mental maths; Single digit, multiples of 10

### 3.3. Multiplication

3.3.1. Understand meaning of multiplication (as multiple addition, combination of units, etc.)

3.3.2. Multiplication of 2 digits, 3 digits

3.3.3. Multiplication tables upto 10(understand, learn)

3.3.4. Factors and multiples

3.3.5. Mental Maths: Estimate products and verify using approximation; Mental Maths (adding partial products, multiplication in mind)

### 3.4. Division

3.4.1. Meaning of division in the context of equal grouping and sharing; inverse multiplication; by multiplication tables

3.4.2. Relate division with multiplication

3.4.3. Divide a number with another given number

3.4.4. Factors and multiples

3.4.5. Mental Maths: Estimate quotients and verify using approximation; Mental Maths (adding partial products, multiplication in mind)

### 3.5. All operations

3.5.1. BODMAS etc.

3.5.2. Solve using money

### 3.6. Word problem

3.6.1. Understand, interpret and frame word problems

### 3.7. Fraction

3.7.1. Understand, represent fractions, notations of 1/2, 1/4, 3/4

3.7.2. Compares fractions

## 4. Measurement

### 4.1. Length/ weight/ volume

4.1.1. Measurement with non standard metric

4.1.2. Measurement with standard metric

4.1.3. Compare

4.1.4. Estimate

### 4.2. Time

4.2.1. Measuring and reading time and calender

### 4.3. Measurement of geometry/shapes

4.3.1. Understanding the concept of area/perimeter

4.3.2. Measurement of 2D shapes

4.3.3. Measure, estimate and compare volume for 3D shapes

### 4.4. Angles

4.4.1. Learn to represent angles numerically

## 5. Data Handling/Statistics

### 5.1. Collect data

5.1.1. Collect and represent data

### 5.2. Data interpretation

5.2.1. Draw inferences from data

### 5.3. Graphical representation

5.3.1. Collect and represent data : Pictograph, Bar graph, Tables, Tally marks

### 5.4. Money conversion

5.4.1. Identify money, handle small amounts of money

5.4.2. Conversion of denominations, add and subtract using small amounts of money