Oral Maths

Visual tools to show adding and subtracting
-Number lines
-Base 10

Strategies to solve addition and subtraction
-Decomposing and composing strategies (Part-Part-Whole)
-Associative property a+(b+c) = (a+b)+c
-Distributing property a(b+c) = ab+ac
-Student invented strategies

Step by step instructions for solving a math problem
-Certainty, reliability, efficiency, generalisability
-long division
-+ - : x; square roots, equations
-Once students understand the "why" behind a concept, algorithms help them solve problems quickly and accurately

A method using rectangles to show multiplication or an area

Equal group situation for multiplication or division. First factor represents the number of rows and second factor represents the number of columns.

Rearranging the parenthesis will not affect the result

A quality or feature of an object that you can measure
-length
-weight

Easy round up numbers like 10, 50, 100 to help estimate or check answers
-checking answers by making estimations

Pictures that use bars to show and compare amounts
-x;y

A number system based on 10's using units like ones, tens and hundreds

Visuals like grids that show parts of a whole divided into tenths or hundredths

Simple math facts like 2+2 or 3x4
-Quick recall

A main concept or main understanding in maths
-200 estimated math "procedures"

Pie charts that show a whole is divided into parts

The distance around the edge of a circle
- C=π*d or C=2π*r

Breaking numbers into smaller parts to make them easier to work with

Strategy to solve multi digit multiplications or division by using a series of related simpler problems (Basic facts)
-Decompose numbers
-Known fact examples
-36*25
=(36*100):4
=36000:4
=900

When two or more factors have the same denominator

Changing the order of numbers doesn't change the result
-5+4=4+5

Tasks where you compare sizes, lengths or weights of objects

Adjusting numbers to make calculations easier, then fixing the result
36-17 = (36-20)+3 = 16+3 = 19

Putting together shapes or breaking them apart to explore geometry

A way of teaching (using the iceberg method) starting with objects, then pictures, then to numbers and symbols

Real life examples where you decide which fraction is bigger or smaller

Word problems that connect math to real life examples

Methods for counting (first developmental stage)
Count out loud
Touch and count
Count on
Skip count
Recount

Looking at collected information to find patterns or answers

Gethering information on measurements for analysis

The dot that seperates whole numbers from fractioned parts in decimals

Numbers that include a decimal point to show parts of a whole

The bottom number in a fraction. It shows how many equal parts the whole is divided into

A straight line inside a shape that goes from one corner to another but not along the edge

A line that goes across a circle through the center
d=r2

Math rule that shows how multiplication interacts with addition and subtraction
a(b+c) = ab + ac

The number you divide by in a division problem
9(dividend) : 3(divisor) = 3(quotient)

A tool that uses two number lines to compare values or ratios

Repeated practice of math facts to build fluency
-drill = repetition ->procedural knowledge
-practice = varied tasks -> conceptual knowledge

Understanding numbers and how they work, particularly mentioned with young children

A blank line used to show thinking steps in solving strategies
-Jump strategy

A symbol showing two values are the same

Visuals that show different fractions can represent the same value

Rough calculation of the same value, number, quantity or extend of something
-Logical thinking
-Rounding, benchmark numbers

A number that divides another number evenly without leaving a remainder
OR
one off the numbers you multiply to get a product