Page 142 - NUMINO Challenge_K2
P. 142
p.40 Use a Tree Diagram Problem solving p.41
Type Study One instrument and one school supply is chosen for a 1 Only one beverage and one fruit can be chosen from each
Christmas present. How many possible combinations of
presents are there? Use a tree diagram. group. How many possible combinations are there? Use a
tree diagram. 8 combinations
School Beverage Fruits
supplies
Instruments
Tambourine Flute Pencil Water Melon
sharpener melon
Milk Coke Apple Grapes
Xylophone Book Crayon Watermelon Watermelon
Melon Tip
Instrument School Supplies Milk Melon Coke Apple Beverage Fruits
Apple Grapes Milk
Watermelon
Tambourine Pencil Sharpener Grapes Apple
Flute Book
Xylophone Crayon 2 How many 2-digit numbers can be made using the given
9 combinations Pencil Sharpener number cards once? 6 numbers
Book
Crayon 12 3
Pencil Sharpener 2 12
Book 13 13
Crayon 21
1 23
Tree Diagrams and Number of Possibilities 2 31 Tip Ones
32 place
Tree diagrams are used to find all the possible ways that a given incident can occur by drawing a shape similar 3 Tens
to tree branches. 1 place 2 12
When finding the number of possibilities for more than two incidents or for complex cases, a systematic 3
approach is needed. When using a tree diagram, you can easily see if there are any missing or repeated 2 1 3 13
possibilities. It is especially convenient to use a tree diagram when the cases have a specific sequence.
40 NUMINO Challenge K2 41Problem Solving
A tree diagram is a great tool that can be used to express a situation in a mathematical way
and allows students to use organizational thinking to solve the problem.
p.42 Solving Directly Problem solving p.43
Type Study A turtle is trying to stop by the pond to get water and go to 1 How many ways can the rat eat the strawberry and the
the rabbit. How many ways can he get to the rabbit? Draw all
possible paths. cake? Draw all the possible paths. 6 ways
rat rat rat
strawberry strawberry strawberry
cake ccaakkee cake
rat rat rat
turtle pond rabbit turtle pond rabbit strawberry strawberry strawberry
turtle ppoonndd rraabbbbiitt turtle ppoonndd rraabbbbiitt cake cake cake
turtle pond rabbit turtle pond rabbit 2 How many different ways can Sally wear her clothes? Color
6 ways the clothes to find the different combinations.
Top
Bottom
Polya’s 4-step Problem Solving Method 6 ways Tip
Think about how
An important goal in studying mathematics is to develop problem solving skills. George Polya saw the many skirts can be
importance of problem solving and presented the following 4 steps. worn with the red top.
Understanding the problem: Understand what needs to be found and what the given conditions are. 43Problem Solving
Devising a plan: Plan out how to solve the problem by using various methods such as writing an equation,
drawing a table or drawing a picture.
Carrying out the plan: Solve the problem by using the devised plan.
Looking back: Check the answer and solution, and find if there are other ways to solve the problem.
42 NUMINO Challenge K2
Directly solving problems allows students to visualize what they are solving and allows
them to move or create objects to imitate the given situation. Through this hands-on
experience, students will grasp the relationship between the components of the problem
more clearly.
13Answer Key
Type Study One instrument and one school supply is chosen for a 1 Only one beverage and one fruit can be chosen from each
Christmas present. How many possible combinations of
presents are there? Use a tree diagram. group. How many possible combinations are there? Use a
tree diagram. 8 combinations
School Beverage Fruits
supplies
Instruments
Tambourine Flute Pencil Water Melon
sharpener melon
Milk Coke Apple Grapes
Xylophone Book Crayon Watermelon Watermelon
Melon Tip
Instrument School Supplies Milk Melon Coke Apple Beverage Fruits
Apple Grapes Milk
Watermelon
Tambourine Pencil Sharpener Grapes Apple
Flute Book
Xylophone Crayon 2 How many 2-digit numbers can be made using the given
9 combinations Pencil Sharpener number cards once? 6 numbers
Book
Crayon 12 3
Pencil Sharpener 2 12
Book 13 13
Crayon 21
1 23
Tree Diagrams and Number of Possibilities 2 31 Tip Ones
32 place
Tree diagrams are used to find all the possible ways that a given incident can occur by drawing a shape similar 3 Tens
to tree branches. 1 place 2 12
When finding the number of possibilities for more than two incidents or for complex cases, a systematic 3
approach is needed. When using a tree diagram, you can easily see if there are any missing or repeated 2 1 3 13
possibilities. It is especially convenient to use a tree diagram when the cases have a specific sequence.
40 NUMINO Challenge K2 41Problem Solving
A tree diagram is a great tool that can be used to express a situation in a mathematical way
and allows students to use organizational thinking to solve the problem.
p.42 Solving Directly Problem solving p.43
Type Study A turtle is trying to stop by the pond to get water and go to 1 How many ways can the rat eat the strawberry and the
the rabbit. How many ways can he get to the rabbit? Draw all
possible paths. cake? Draw all the possible paths. 6 ways
rat rat rat
strawberry strawberry strawberry
cake ccaakkee cake
rat rat rat
turtle pond rabbit turtle pond rabbit strawberry strawberry strawberry
turtle ppoonndd rraabbbbiitt turtle ppoonndd rraabbbbiitt cake cake cake
turtle pond rabbit turtle pond rabbit 2 How many different ways can Sally wear her clothes? Color
6 ways the clothes to find the different combinations.
Top
Bottom
Polya’s 4-step Problem Solving Method 6 ways Tip
Think about how
An important goal in studying mathematics is to develop problem solving skills. George Polya saw the many skirts can be
importance of problem solving and presented the following 4 steps. worn with the red top.
Understanding the problem: Understand what needs to be found and what the given conditions are. 43Problem Solving
Devising a plan: Plan out how to solve the problem by using various methods such as writing an equation,
drawing a table or drawing a picture.
Carrying out the plan: Solve the problem by using the devised plan.
Looking back: Check the answer and solution, and find if there are other ways to solve the problem.
42 NUMINO Challenge K2
Directly solving problems allows students to visualize what they are solving and allows
them to move or create objects to imitate the given situation. Through this hands-on
experience, students will grasp the relationship between the components of the problem
more clearly.
13Answer Key
