Explaining solutions to Mathematics exercises on pages 106 and 107 of Volume 1 of the Creative Horizon textbook. Guidance provided for problems 1, 2, and 3 in the Line Segments Graph lesson as per the curriculum in the textbook. Students can compare their work or refer to the solutions for better understanding.
Referencing multiple resources for effective 7th-grade Math learning:
- Complete set of Solutions for 7th-grade Mathematics from the Creative Horizon series
- Solving 7th-grade Mathematics on page 107 of Volume 1 of the Kite series - Problem 4. Theorem
- Solving 7th-grade Mathematics on page 69 of Volume 1 of the Knowledge Connect series - Concentrated practice on page 68
Solving exercises on pages 106 and 107 of the textbook Volume 1, Creative Horizon series
Line Segment Graph
1. Solve Exercise 1 on Page 106 Mathematics Textbook for Grade 7
Problem: Draw a line segment graph representing the data in the following statistical table:
Solution Guide:
How to draw a line segment graph:
Step 1: Draw two perpendicular axes, one horizontal and one vertical.
- Horizontal axis: Label the time intervals.
- Vertical axis: Choose appropriate intervals for the data and mark the values at the intervals.
Step 2:
- At each time interval on the horizontal axis, mark a point at a distance from the time point vertically proportional to the data at that time point, corresponding to the interval on the vertical axis.
- Connect the points corresponding to each pair of consecutive time intervals with line segments, resulting in a polyline representing the change in data over time.
Step 3: Finalize the graph:
- Label the graph.
- Note down the numerical values at the endpoints of the line segments.
- Indicate units on both axes.
Answer:
Problem: Observe the chart below and answer the questions
a) What topic does the chart represent?
b) What is the unit of time measurement?
c) In which month does the store have the highest revenue?
d) Which month does the store experience its lowest revenue?
e) When does the store witness an increase in revenue?
g) During which periods does the store see a decline in revenue?
Guidelines for solving:
Observe the serpentine path from left to right.
Read the data recorded at the marked points.
Answer:
a) The chart represents information about revenue over 12 months for store A.
b) The time unit of measurement is: months.
c) Store had the highest revenue in December (85 million dong).
d) Store had the lowest revenue in May (50 million dong).
e) Revenue of the store increased during the following periods: 1 - 2; 2 - 3; 3 - 4; 5 - 6; 7 - 8; 10 - 11; 11 - 12.
g) Revenue of the store declines during the periods: 4 - 5; 6 - 7; 8 - 9; 9 - 10.
3. Solve Problem 3 Page 107 Math Textbook Grade 7
Problem: Analyze the data represented on the chart below:
Solution guide:
+ What issue does the chart represent?
+ What is the unit of time?
+ When are the highest and lowest data points?
+ When do the figures increase or decrease?
Answer:
+ The chart illustrates the average temperature of each month in 2020 in Ho Chi Minh City.
+ The time unit is month, and the data unit is degrees Celsius (°C).
+ April has the highest average temperature.
+ December has the lowest average temperature.
+ The average temperature increases during the periods from month: 1 - 2; 2 - 3; 3 - 4.
+ The average temperature decreases during the periods from month: 4 - 5; 5 - 6; 6 - 7; 8 - 9; 10 - 11; 11 - 12.
+ The average temperature remains unchanged during the periods from month: 7 - 8; 9 - 10.
Here is the guide to solving math problems for Grade 7, pages 106 and 107 in Volume 1. Students, please refer to solving math problems for Grade 7, pages 109 and 110 in Volume 1 and review solving math problems for Grade 7, pages 100 and 101 in Volume 1 to strengthen your knowledge.
- Solve Math problems for Grade 7, pages 109 and 110 in Volume 1 of the Creative Horizon series - Exercises at the end of Chapter 5
- Solve Math problems for Grade 7, page 10 in Volume 2 of the Creative Horizon series - Exercise 1: Proportional Equation - Equal Ratio Sequence
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