(B) Determine products of a number and 10 or 100 using properties of operations and place value understandings

(Y6) Multiply and divide decimals by powers of 10 (ACMNA130)

5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

(G) Partition two-dimensional figures into two and four fair shares or equal parts and describe the parts using words

(H) Identify examples and non-examples of halves and fourths.

(Y1) Recognise and describe one-half as one of two equal parts of a whole. (ACMNA016)

1.G.3 Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

2.NBT.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

(D) Apply basic fact strategies to add and subtract within 20, including making 10 and decomposing a number leading to a 10

(Y1) Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015)

1.NBT.4 Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.

(A) Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left

(Y5) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291)

5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

(A) Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids

(Y7) Calculate volumes of rectangular prisms (ACMMG160)

5.MD.5.C Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.