properties
what property tells us that 0 multiplied by any factor equals 0
Zero property
(8x3)x5=3x(___x___)
3x(8x5)
Jamal broke up a large array into a 3 × 6array and a 4 × 6 array. What was the large array? Show your work.
7 x 6 (I will check white boards)
There are 9 rows of chairs. Each row has 7 chairs.
How many chairs are there in all?
➡️ 9 × 7 = 63
what are factors?
numbers that we multiply together
what 2 new properties did we learn about in topic 3
distributive property and associative property
associative property can also be known as the _____ property
grouping
Original: Liam bought 5 paint sets. Each set has 2 paintbrushes and 4 paints.
Question: How many items does he have in total?
you need to write out your equations and dray the array for each set
(5 x 2) + (5 x 4) = 10 + 20 = 30
I will check white boards
James has 8 drawers, and each drawer has 4 pairs of socks.
How many pairs of socks does he have?
➡️ 8 × 4 = ___
when we are justifying our reasoning we our __________
Explaining how we got our answer.
what does the distributive property tell us?
That we can break a multiplication fact (or array) into 2.
A bookstore uses 6 books in each display. There are 2 displays on each of the bookstore’s 4 walls. How many books are used in the displays? (use your counters to make the arrays if needed)*you need your equation!!
6 x 2 x 4 = 48
3X5 make and break this array using the distributive property. write out the full equation
___x___=(__x__)+(___x___)
I will come around and check
Alma has 6 bags of beads. There are 8 beads in each bag. How many beads does Alma have? (write out your equation!)
8 X 6 = 48
the answer in multiplication is called the
product
associative property is called the _______ property
grouping
A bakery has bagels displayed on 4 shelves. Each shelf has 2 baskets. Each basket has 8 bagels. How many bagels are displayed in all? Write an expression that represents the amount.
(4 x 2) x 8 (i will check boards)
Find the equation for the whole array. justify your reasoning. (use counters)
(3 × 8) + (4 × 8) =
7X8
Each of 4 tables has 2 boxes of pizza.
Each box has 8 slices.
write the equation using the associative property
(4 × 2) × 8 = 4 × (2 × 8)
The product of a given number and any other whole number is called a
multiple
Name the 5 properties and describe what they tell us
zero, associative, commutative, identity, and distributive (will check for meanings)
There are 2 boxes, and each box has 3 bags of balloons.
Each bag has 4 balloons.
How many balloons are there in all?
(2 × 3) × 4 = 2 × (3 × 4)
24
Original: A bakery gets 8 boxes. Each box has 3 chocolate and 5 vanilla cupcakes.
Question: How many cupcakes were ordered?
make the array(s) and write your equations. JUSTIFY YOUR ANSWER ALOUD.
(8 x 3) + (8 x 5) = 64
There are 4 schools, and each school has 3 basketball teams.
Each team has 2 players.
How many basketball players are there in total?
➡️ 4 × 3 × 2 =24
A number sentence that uses an equal sign (=) to show the value to its left is the same as the value to its right is called an
Equation