write the rule for each pattern
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
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
Add the numbers needed to make the expressions equivalent:
30 × 0 = 30 – __
30
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.
Write the rule for each pattern. Add 2 numbers to each series
835 735 635 535 __ ___
Pattern Rule:
Pattern Rule:
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
18 + 1 = 20 –
1
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).
3 9 27 __
Pattern Rule:
81
Pattern Rule : x3
46 + 18 = 30 + ___
34
20 + 15 = 5 × ___
7