write the rule for each pattern
Probability
Equivalent Expression
Situational problem
100

Write the rule for each pattern. Add 2 numbers to each series

25  20  30  25  35 __ __ 

Pattern Rule: 

30, 40 

Pattern Rule – 5, + 10

100

Look at looseleaf

a) Which bag has no squares inside?
→ Bag A

b) In which bag is there the same chance to pick a circle or a square?
→ Bag B

c) From which bags can you pick a circle?
→ Bag A, Bag B, and Bag C

d) Which bag has no triangles at all?
→ Bag A and Bag B

100

Add the numbers needed to make the expressions equivalent: 

30 × 0 = 30 – __

30


100

Mia and Noah each walked from the park to the library.
• It took Mia 1 hour and 10 minutes. On the way, she stopped for 60 seconds to look at a butterfly.
• It took Noah 75 minutes. He stopped for 120 seconds to tie his shoes.

If Mia and Noah had not stopped along the way, who would have walked the distance faster?
Explain your answer.

Step 1: Convert all times to minutes

  • Mia’s total time: 1 hour 10 minutes = 60 + 10 = 70 minutes

  • Mia’s stop time: 60 seconds = 1 minute

  • Mia’s walking time without stopping = 70 - 1 = 69 minutes

  • Noah’s total time: 75 minutes

  • Noah’s stop time: 120 seconds = 2 minutes

  • Noah’s walking time without stopping = 75 - 2 = 73 minutes

Step 2: Compare their walking times

  • Mia walked for 69 minutes (excluding her stop)

  • Noah walked for 73 minutes (excluding his stop)

Since 69 minutes < 73 minutes, Mia walked faster than Noah when not counting their stops.

200

Write the rule for each pattern. Add 2 numbers to each series

835 735 635 535 __ ___

Pattern Rule: 



Pattern Rule: 

200

Look at looseleaf

a) Which box has no circles?
→ Box B

b) In which box is there an equal number of triangles and circles?
→ Box A

c) From which boxes can you pick a green square?
→ Box B and Box C

d) Which box has only one triangle?
→ Box C

200

18 + 1 = 20 –

1

200

 Liam and Emma each biked from their homes to the park.
• It took Liam 52 minutes. On the way, he stopped for 120 seconds to check his phone.
• It took Emma 49 minutes. She stopped for 180 seconds to tie her shoelaces.

If Liam and Emma had not stopped along the way, who would have biked the distance faster?
Explain your answer.

Step 1: Convert stop times to minutes

  • Liam’s stop time: 120 seconds = 2 minutes

  • Emma’s stop time: 180 seconds = 3 minutes

Step 2: Calculate biking time without stops

  • Liam: 52 - 2 = 50 minutes

  • Emma: 49 - 3 = 46 minutes

Step 3: Compare times

Since 46 minutes < 50 minutes, Emma biked faster.

Final answer:
If Liam and Emma had not stopped, Emma would have biked faster because her biking time (46 minutes) is less than Liam’s (50 minutes).

300

3 9 27 __

Pattern Rule: 

81

Pattern Rule : x3

300

46 + 18 = 30 + ___

34

400

20 + 15 = 5 × ___

7