# Grade 4 Learner Outcomes

## CONCEPTUAL UNDERSTANDING

• The base 10 place value system can be extended to represent magnitude and numbers in two directions.

## Knowledge

• Use place value understanding to round multi-digit whole numbers to any place.
• Use the language of mathematics to count numbers up to and beyond 10,000
• Recognise, model, read, write and order numbers to represent quantities in real-life situations up to and beyond 100,000.
• Round numbers to the nearest 10, 100 or 1000.
• Model numbers to 100,000 using the base ten place value system by expanding, regrouping or trading numbers.

## CONCEPTUAL UNDERSTANDING

• The operations of addition, subtraction, multiplication and division are related to each other and are used to process information to solve problems of whole and part whole numbers.
• Select and use the appropriate mental, written and inventive strategies for addition and subtraction using multi digit number and multiplication and division using flexible strategies and standard algorithms.

## Addition

### Knowledge:

• Recalls instantly addition and subtraction facts. e.g. 46-4

Strategies:

• Place value (1000+200) +(40+30) + (6+8)=384
• Rounding (1150+238-4)
• Use of algorithm*

*delay to invented strategies are secure.

## Subtraction

Without Regrouping e.g. 457-325

• Place value (400-300)+(50-20)+(7-5) = 132
• Reversibility (adding up) 325 + ?= 457

With regrouping e.g. 533-466

• Take tens, then ones (533-400) (133-66)
• Add tens then compensate (466+100-33)
• Reversibility (adding up) 466+?=533

## Multiplication & Division

Knowledge:

• Efficiently recalls multiplication and division facts to 12

Strategies

• Place value 24 x7 as (20x7)+(4x7)
• Compensation 27x4 as (30x4) - (3x4)
• Using Area Model
• Using multiples (4x12=48) so 400x12=48
• Algorithm for double digit numbers e.g. (36x23) or (36x7)

## CONCEPTUAL UNDERSTANDING

• Fractions and decimals are ways of representing whole-part relationships.
• Ratios are a comparison of two numbers or quantities.

## Fractions:

Knowledge:

• Compare two fractions with different numerators and different denominators.
• Decompose a fraction into a sum of fractions with the same denominator e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8.
• Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models.
• Understand a fraction a/b as a multiple of 1/b.
• Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

Strategies:

• Add and subtract mixed numbers with like denominators.
• Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.
• Solve word problems involving multiplication of a fraction by a whole number, e.g. 3 x ½

## Decimals

Knowledge:

• Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
• Compare two decimals to hundredths by reasoning about their size.
• Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

## CONCEPTUAL UNDERSTANDING

Van Hiele Level 1.

• Classify shapes
• Know the properties of shapes
• Identify shapes by describing their parts
• Think about all shapes with a class of shape e.g. all rectangles not just the common ones.
• Understand what makes a rectangle a rectangle or a square a square.

## Knowledge:

### Shape:

• Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
• Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
• Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

### Space:

• Use simple scales, legends and directions to interpret information contained in basic maps .

## CONCEPTUAL UNDERSTANDING

• Use scaled instruments to measure and compare lengths, masses, capacities and temperatures

### Measure and estimate lengths in standard units.

• Know relative sizes of measurement units within one system of units including km, m, cm; kg, g.; l, ml; hr, min, sec.
• Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
• Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

### Geometric Measurement

• Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.
• An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles.
• An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
• Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Time:

• Tells all time accurately using digital and analogue.

## Knowledge:

• Explore and describe number patterns resulting from performing multiplication
• Solve word problems by using number sentences involving multiplication or division where there is no remainder
• Use equivalent number sentences involving addition and subtraction to find unknown quantities

## Knowledge:

### Data Handling:

• Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.

### Chance:

• Describe possible everyday events and order their chances of occurring
• Identify everyday events where one cannot happen if the other happens
• Identify events where the chance of one will not be affected by the occurrence of the other