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Solving Math Grade 3 pages 57, 59, 60 of the book Connecting Knowledge to Life
Solving exercises on pages 57, 59, 60 of Math 3 Workbook 1, the book Connecting Knowledge to Life:
Triangles, quadrilaterals. Rectangles, squares
Activity 1
1. Solve Exercise 1 Page 57 Math Grade 3
Problem Statement: State the names of vertices and edges for each shape (following the example):
Solution Guide: Observe the diagram to determine the vertices and edges of the triangle and quadrilateral.
Answer:
2. Solve Exercise 2 Page 57 Math Grade 3
Problem Statement: Name the triangles and quadrilaterals in the image below.
Solution Guide: Observe the illustration and name the triangles and quadrilaterals.
Answer:
- There are 3 triangles: ADC, ACB, BCE.
- There are 3 quadrilaterals: ABCD, ABEC, ABED.
3. Solve Exercise 3 Page 57 Math Grade 3
Problem Statement: Mai marks several points on a colored sheet (as shown). Connecting two points among those marked, Mai can cut the paper to get:
a) 2 quadrilaterals?
b) 1 triangle and 1 quadrilateral?
Solution Guide: Observe the illustration and connect two points among those marked to form the shapes required by the problem.
Answer:
a) Connecting M to N results in 2 quadrilaterals: AMND and MNCB.
b) We can connect in the following ways to obtain 1 triangle and 1 quadrilateral.
Method 1: Cutting the paper along the line AN gives us a triangle ADN and a quadrilateral ANCB.
Method 2: Cutting the paper along the line BN gives us a triangle BCN and a quadrilateral ABND.
Method 3: Cutting the paper along the line DM gives us a triangle ADM and a quadrilateral MBCD.
Method 4: Cutting the paper along the line MC gives us the triangle MBC and the quadrilateral AMCD.
Activity 2
1. Solve Exercise 1 Page 59 Math Grade 3
a) Among the shapes below, which one is a square?
b) Among the shapes below, which ones are rectangles?
Solution Guide:
Observe the illustration and name the squares and rectangles.
A square has 4 right angles and all sides equal.
A rectangle has 4 right angles, two sides equal in length, and two sides equal in length.
Answer:
a) Shape EGHI is a square.
b) Shapes MNPQ and RTXY are rectangles.
- See more: Solving exercises on page 64 Math Grade 3 Volume 1, the book Connecting Knowledge to Life
2. Solve Exercise 2 Page 59 Math Grade 3
Problem Statement: Number ?
By measuring on the illustration, the square ABCD has side length of ...... cm; the rectangle MNPQ has length of .... cm and width of .... cm.
Solution Guide: Use a ruler with centimeter markings to measure the lengths of the sides.
Answer:
The square ABCD has a side length of 3 cm.
The rectangle MNPQ has a length of 3 cm and a width of 2 cm.
3. Solve Exercise 3 Page 59 Math Grade 3
Problem Statement: Choose the correct answer.
To cut the paper into a square as shown, which straight line does Robot need to cut along below?
A. Line segment MQ.
B. Line segment PN.
C. Line segment PQ.
D. Line segment MN.
1. Solving Exercise 1 Page 60 Mathematics Book Grade 3
Problem: Your ant friends, cricket, grasshopper, and hairclip are positioned at the four corners of the rectangle ABCD (as shown in the diagram). It is given that BC = 13 dm, CD = 20 dm.
a) How many decimeters away is the ant house from the hairclip house?
b) What is the distance between the ant house and the cricket house in decimeters?
c) The ant will pass through the cricket house and then reach the grasshopper house. Calculate the distance the ant will travel in decimeters.
Solution:
- The distance from the ant house to the hairclip house is equal to the width of the rectangle ABCD.
- The distance from the ant house to the cricket house is equal to the length of the rectangle ABCD.
- The distance from the ant house to the grasshopper house (passing through the cricket house) = Length AB + Length BC.
Answer:
Rectangle ABCD has:
Width AD = BC = 13 dm.
Length AB = DC = 20 dm.
a) The distance from the ant house to the hairclip house is equal to the width of rectangle ABCD and is 13 dm.
b) The distance from the ant house to the cricket house is equal to the length of rectangle ABCD and is 20 dm.
c) The distance from the ant house to the grasshopper house (passing through the cricket house) is 20 + 13 = 33 (dm).
2. Solve Exercise 2 Page 60 Mathematics Book Grade 3
Problem: A straight road connects from point A to point B. Due to the damaged section CD, a detour in the shape of the given rectangle CDNM is created.
a) Number?
The length of section CD is .... km.
b) Choose the correct answer.
How many kilometers longer is the detour route from point A to point B compared to the straight path?
A. 1 km B. 3 km C. 2 km
Solution:
- The length of section CD is equal to the length of rectangle CDNM.
- The detour route from point A to point B is 2 times the width of rectangle CDNM.
Answer:
a) Rectangle CDNM has length CD = MN = 2 km.
Therefore, the length of section CD is 2 km.
b) The detour route from point A to point B is 2 times the width of rectangle CDNM and is equal to 1 x 2 = 2 (km).
Choose answer C.
3. Solve Exercise 3 Page 60 Mathematics Book Grade 3
Problem: Using 6 toothpicks, Robot can arrange a rectangle as shown in the figure.
Using 10 toothpicks, how many ways can you arrange a rectangle?
Solution: Based on the characteristics of a rectangle with 4 right angles and two equal long sides, we can arrange 10 toothpicks into a rectangle.
Answer:
We can arrange them as follows:
So, there are 2 ways to arrange them.
Through the exercise solutions on pages 57, 59, 60 of Mathematics Workbook Grade 3 Volume 1, as detailed in the Connect Knowledge with Life book, students can easily grasp the knowledge and perform exercises effectively. If you haven't understood the solution method, review the theory to apply it to your exercises more efficiently.
