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Lesson summary for 7th grade algebra “Entrance testing”

Entrance testing in algebra

7th grade

Explanatory note

1. The purpose of the work is to find out to what extent the knowledge and skills of 7th grade students at the beginning of the school year correspond to the basic program requirements in mathematics.

2. Characteristics of the structure and content of the work

The mathematics work consists of 2 parts and includes 11 tasks that differ in form and level of difficulty (Table 1):

Part 1 contains 7 multiple choice tasks. For each task there are four possible answers, of which only one is correct.

Part 2 contains 4 tasks that require a detailed solution.

Table 1. Distribution of tasks by parts of work

3. Distribution of work tasks by difficulty level

The work presents tasks of various levels of complexity: basic, advanced.

Basic level tasks are included in the first part of the work. These are simple tasks that test your understanding of the most important math concepts.

Advanced level tasks are included in the second part of the work. These tasks are aimed at testing the ability to use concepts and laws to solve various problems.

Table 2. Distribution of tasks by difficulty level

4. Time to complete the work is 45 minutes (taking into account the time allotted for instructing students).

5. Additional materials and equipment: you are allowed to use a ruler when performing tasks.

6. Evaluation system for individual tasks and work as a whole

A multiple-choice task is considered completed if the selected answer number matches the correct answer. Each task is worth 1 point.

A task with a detailed solution is considered completed if the answer matches the correct answer. Each of the tasks is worth 2 points; if the solution is complete, a detailed answer is given.

The maximum number of points is 15 points.

Test evaluation criteria

Entrance testing in algebra study_____ 7 “A” class ____________________________________- ____________________________________

Option 1. Part 1.

1. Find the value of the expression: a)9.6 b)10.6 c)12.2 d) another answer
2. Follow these steps: a) 11.907 b) 5.292 c) 2.7 d) another answer
3. One bag contained 50 kg of sugar, and the other contained 1.3 times more. How much sugar was in the two bags? a) 115 b) 65 c) 125 d) another answer
4. The water content of watermelon is 76%. How much dry matter is contained in a watermelon that weighs 24 kg? a) 18.24 b) 9 c) 5.76 d) another answer
5. Calculate: -9(-0.7+1.2):15+0.8 a) 0.5 b) 1.2 c) 1.4 d) another answer
6. Simplify the expression: 7(2a-4.2)-(4+a) a)13a -33.4 b)15a – 33.4 c) 13a – 25.4 d) another answer
7. Find the unknown term of the proportion: 21 : x = 36 : 1.2 a) 1 3/7 b) 0.9 c) 0.7 d) another answer

Part 2 (write down the solution to the tasks)

1. Solve the equation: 1.2x-0.6=0.8x-27.
2. Construct a segment AK, where A(2;5), K(-4;-1), and write down the coordinates of the points of intersection of this segment with the coordinate axes.
3. Solve the problem using the equation. In two days, 574 tons of grain were sent to the elevator, and on the first day it was 1.8 times less than on the second. How many tons of grain were sent on the first day and how many on the second?
4. Solve the problem: On the exam, 30% of sixth graders received a grade of “5”. How many students are in the class if 9 people got A's?

Entrance testing in algebra study_____ 7 “A” class ____________________________________- ____________________________________

Option 2. Part 1.

1. Find the value of the expression: a) 20.05 b) 21.05 c) 29 d) another answer
2. Follow these steps: a) 6.18 b) 61.8 c) -0.618 d) another answer
3. In the library there are 90 books on one shelf, and 1.5 times more on the other shelf. How many books are there on two shelves? a) 150 b) 135 c) 225 d) another answer
4. In a week, builders must pave 29 km of road. In the first 4 days, 79% of the work was completed. How many kilometers of road do they have left to pave? a) 3.19 b) 22.91 c) 7.09 d) another answer
5. Calculate: -6(-0.6+2.3):(-0.34)+1.3 a) 31.3 b) 1.6 c) 1 d) another answer
6. Simplify the expression: 3(2.9 – 4c)-(2c-3.7) a) 10c-5 b) 12.4 – 10c c) 5-10c d) another answer
7. Find the unknown term of the proportion: 28 : 0.07=32 : x a) 0.08 b) 0.8 c) 800 d) another answer

Part 2 (write down solutions to problems)

1. Solve the equation: 1.4x + 14=0.6x + 0.4.
2. Construct a segment BM, where B(-1;4), K(5;-2), and write down the coordinates of the points of intersection of this segment with the coordinate axes.
3. Solve the problem using the equation. The school has 671 students, with 1.2 times more girls than boys. How many girls and how many boys are in school?
4. Solve the problem: The tractor driver plowed 70% of the field. What is the area of ​​the field if 56 hectares are plowed?

Mathematics, Lesson plan, 1st grade, Kanashevich T.N., Kopylova S.A.

Mathematics, Lesson plan, 1st grade, Kanashevich T.N., Kopylova S.A. In the educational process, you can use the manual “Mathematics. 1 class. Independent and test works” by G. L. Muravyova, M. A. Urban, S. V. Galzaovon, E. L Urban, which corresponds to the educational and methodological complex. Each independent work is presented in two versions and relates to the indicated lessons in the textbook. Of course, each teacher can supplement the proposed material with his own ideas and developments. We hope that the manual will help make students' introduction to mathematics more interesting, memorable and exciting. A lot of. One. Objectives: • learn to use the concepts “one”, “many” to characterize the number of sets consisting of one or more elements; • develop the ability to compare the numbers of sets, • develop the ability to count objects within 20; • consolidate the ability to navigate on a sheet of paper. Educational and methodological support: textbook. Part 1; Lesson 17: Workbook. Part 1: lesson 17; magnets, drawings with images; flowers; white album sheets, math set, colored pencils. During the classes. 1. Organizational moment (see Appendix 1, at the choice of the teacher) 2. Updating the knowledge and skills of students Oral exercises • Counting with clap to 20 forward and back. • Count from 8 to 13, 15 to 20, 10 to 14. • What number is between 5 and 7, 18 and 20, etc.? • What number is to the left of 3, to the right of 9, etc.? • What numbers are 7, 4, 12, etc. friendly with? Game "Geometric writing". “Put a triangle in the upper right corner of the landscape sheet, a square in the lower left corner, a circle in the lower right corner, a triangle to the right of the square, a rectangle in the upper left corner of the sheet.” Who will read my letter? (The teacher listens to the answers of several students.)

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Published date: 10/27/2019 11:41 UTC

textbook on mathematics :: mathematics :: Kanashevich :: Kopylova

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